1. pets
2. aquariums

Sample 203-104-VA Applied Science Assessments
EVALUATION OF ASSESSMENT TOOLS USED TO MEASURE ACHIEVEMENT OF IET COURSE COMPETENCIES
Please attach copies of all assessment tools used in this section of the course
Instructions: Scroll over Headings to learn more about the requested information
Teacher Name: Scott Redmond
Course Number: 203-104-VA
Section Number:all
Ponderation:
Semester:A2012
Competency code and statement:
Elements of the Competency
(Objectives)
1.
Performance Criteria
(Standards)
1.1
1.2
1.3
1.4
1.5
1.6
Assessment Tools
Relevance of Assessment Tool
2.
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
3.
3.1
3.2
3.3
4.
4.1
4.2
4.3
4.4
5
5.1
5.2
5.3
5.4
Competency code and statement:
Elements of the Competency
(Objectives)
1.
Performance Criteria
(Standards)
1.7
1.8
1.9
1.10
1.11
1.12
2.
2.9
2.10
2.11
2.12
2.13
2.14
Assessment Tools
Relevance of Assessment Tool
2.15
2.16
3.
3.4
3.5
3.6
4.
4.4
4.5
4.6
4.4
5
5.1
5.2
5.3
5.4
Applied Science A12 – Quiz: Stress and Strain
Name: ______________________________________
Material
Density
(g/cm³)
Young's Modulus
(GPa)
Yield Strength
(MPa)
Ultimate Strength
(MPa)
Aluminum
2.71
69
95
110
Steel (ASTM-A36)
7.85
200
250
400
1. An aluminum rod 1.0 cm in diameter is subjected to an axial tensile force of 1250 N.
a) Find the stress in the rod. [4]
b) Find the maximum force this rod can hold before it will fracture. [3]
2. A steel rod 1.0 cm in diameter is initially 1.5 m long. Find its length when it is subjected to a stress of 200 MPa. [3]
Applied Science A12 – Quiz: Fluid Statics – v1
Helpful constants:
Density of fresh water: 998 kg /m 3
Density of seawater: 1030 kg /m 3
Name: ______________________________________
Atmospheric pressure at sea level:
1.01×105 Pa
1. Find the pressure at a depth of 25 m below the surface of the ocean in terms of gauge pressure and in terms of absolute
pressure. [4]
2. A simple hydraulic lever is shown. In this case,
car a distance of
Ai =0.001 m2 and Ao =0.50 m2 . If you use this lever to lift a
d o=1.0 cm , how far must you push the input piston? [4]
Ai
F⃗ i
Ao
F⃗ o
Applied Science A12 – Quiz: Fluid Statics – v2
Helpful constants:
Density of fresh water: 998 kg /m 3
Density of seawater: 1030 kg /m 3
Name: ______________________________________
Atmospheric pressure at sea level:
1.01×105 Pa
1. Your friend's fresh water aquarium has a height of 35 cm , a width of 25 cm , and a length of 50 cm . Find the
pressure of the water at the bottom of the aquarium in terms of gauge pressure and absolute pressure.
2
2
2. A simple hydraulic lever is shown. In this case, Ai =0.0009 m and Ao =0.36 m . If you use this lever to hold
up a car with a weight of 36000 N, how much input force would you need?
Ai
F⃗ i
Ao
F⃗ o
Applied Science A12 – Quiz:
F b and Q – v1
Helpful constants and equations:
Density of fresh water: 998 kg /m 3
Density of seawater: 1030 kg /m 3
1. An ocean liner floating at the surface displaces
Name: ______________________________________
Atmospheric pressure at sea level:
1.01×105 Pa
g =9.8 N /kg
5.0×10 3 m3 of seawater. Find the mass of the ocean liner. [4]
2. The figure to the right shows the cross-section of a pipe
containing fresh water. The water flows through the
wider area with a speed of v 1=0.0222 m/s .
a) Find the flow rate. [2]
A1=0.09 m 2
A2 =0.01 m 2
v2
v1
b) Find the speed of the water as it flows through the narrow part of the pipe,
v 2 . [2]
Applied Science A12 – Quiz: F b and Q – v2
Helpful constants and equations:
Density of fresh water: 998 kg /m 3
Density of seawater: 1030 kg /m 3
Name: ______________________________________
Atmospheric pressure at sea level:
1.01×105 Pa
g =9.8 N /kg
1. A cargo ship can displace up to 8.0×10 3 m3 of seawater before it will sink. When empty (no cargo), the ship has a
mass of m=1.0×106 kg . Find the maximum additional mass (of cargo) this ship can carry without sinking. [4]
2. The figure to the right shows the cross-section of a pipe
containing fresh water. The water flows through the
narrow area with a speed of v 2 =0.9 m/ s .
a) Find the flow rate. [2]
A1=0.09 m 2
A2 =0.01 m 2
v2
v1
b) Find the speed of the water as it flows through the wider part of the pipe,
v 1 . [2]
Applied Science A12 – Quiz: Thermodynamics – v1
Helpful constants and equations:
Specific Heat of Ice: 2090 J /kg⋅K
Latent Heat of Fusion for Water: 3.33×105 J / kg
Q=m c Δ T , Q=m L f , Q=m L v
Name: ______________________________________
Specific Heat of Water: 4190 J /kg⋅K
Latent Heat of Vapourization for Water: 22.6×10 5 J /kg
1. A 0.4 kg chunk of ice with an initial temperature of −15 oC is placed in a cup and heated to
a) How much heat is required to raise the temperature of the ice to 0 oC ? [2]
35 o C .
b) How much heat is required to melt the ice? [2]
c) How much heat is required to raise the temperature of the (now melted) ice from
d) How much total heat did the ice receive, in being heated from
0 oC to 35 o C ? [2]
−15 oC to 35 o C ? [2]
2. A 1.5 kg chunk of ice with an initial temperature of −15 oC is added to 15.0 kg of water with an initial
temperature of 55 oC . The ice and water are mixed in a perfectly insulating container. Set up the equation you
would use to solve for the final temperature of the system, which is reached after the ice and water achieve thermal
equilibrium. [2]
NAME:____________________________________________________________
Oct. 23, 2012
CEGEP Vanier College, Faculty of Science and General Studies
Department Of Physics, Autumn 2012
203-104-VA: Applied Science
TEST – 1 Makeup v1 (1h 30 minutes)
Instructions:
● The following test contains 4 pages (including this page).
● Unless otherwise specified, answer all questions in the exam booklet provided. If you use more
than one exam booklet, write your name and student number on each booklet.
● Clearly label which question and part you are attempting.
● You are permitted to use a non-programmable scientific calculator, ruler, pens or pencils, and one
double-sided handwritten 8.5” by 11” memory aid. All other personal items must be placed
along the front or side of the room.
● Show enough work to prove to the marker that you understand the physics ideas and can apply
them.
● If you draw a box around every final answer, you will be granted 1 bonus mark.
● Good luck.
PART A – Short Answer Questions
Answer each of the following questions in the exam booklet provided.
QUESTION 1 [8 pts]
A car travels 40 km at an average speed of 80 km/h and then travels 40 km at an average speed of 40
km/h. Find the average speed (in m/s) of the car for the entire 80 km trip.
QUESTION 2 [10 pts]
A man applies a 220 N force to the right pushing a crate 2.0 m. There is a 200 N frictional force present.
a) Find the total work done on the crate. [6]
b) At the end of the 2.0 m push, is the crate moving faster than, the same speed as, or slower than
its initial speed? Briefly explain how you can tell. [4]
QUESTION 3 [8 pts]
An object starts from rest at the origin and moves along the x axis with a constant acceleration of
4 m/s 2 . Find its average velocity as it goes from x=2 m to x=8 m .
QUESTION 4 [8 pts]
A stone is released from a balloon that is descending at a constant speed of 10 m/ s . Neglecting air
resistance, find the speed of the stone after 20 s.
1
QUESTION 5 [10 pts]
Two spacemen are floating together with zero speed in a gravity-free region of space. The mass of
spaceman A is 120 kg and that of spaceman B is 90 kg. Spaceman A pushes B away from him with B
attaining a final speed of 0.5 m/s. Find the final recoil speed of spaceman A.
QUESTION 6 [13 pts]
The block shown has a mass of 7 kg and moves on a horizontal surface. Two of the forces on it are
shown. A frictional force exerted by the surface is the only other horizontal force on the block.
a) Identify all vertical forces acting on the block (if
any). [2]
b) If the block moves with a constant velocity, find the
magnitude and direction (left or right) of the
frictional force acting on the block. [6]
c) Later on, with the 5N and 3N forces still being
applied, the block accelerates with a magnitude of 0.1 m/ s 2 . Find the new magnitude and
direction (left or right) of the frictional force that now acts on the block. [5]
QUESTION 7 [13 pts]
Answer the following questions.
a) A baseball is thrown straight up into the air. What is the ball's acceleration at its highest point?
Briefly explain your answer. [4]
b) If an object is at rest, can we conclude that there are no external forces acting on it? Briefly
explain. [4]
c) A 2 kg block is thrown upward from a point 20 m above the Earth's surface. At what height
above the Earth's surface will the gravitational potential energy of the Earth-block system have
increased by 500 J? [5]
2
PART B – Multiple Choice Questions [30]
For each of the following multiple choice questions, circle the best answer.
Each question is worth 2 points.
Do not guess. 0.4 marks will be deducted for each wrong answer.
1. An object is released from rest and falls a distance H during the first second of time. How far will it fall
during the next second of time?
a) H
b) 2H
c) 3H
d) 4H
e) H2
2. As a rocket is accelerating vertically upward at 9.8 m/s2 near the earth's surface, it releases a projectile.
Immediately after release the acceleration (in m/s2) of the projectile is:
a) 9.8 down
b) 0
c) 9.8 upd) 19.6 up
e) none of the above
3. The diagram shows a velocity-time graph for a car moving in a
straight line. At point P the car must be:
a) moving with zero acceleration
b) climbing the hill
c) accelerating
d) stationary
e) moving at about 45o with respect to the x-axis
4. Consider the following five graphs (note the axes carefully). Which of these represent(s) motion at constant
speed?
a) IV only
b) IV and V only
c) I, II, and III only
d) I and II only
e) I and IV only
5. A physics textbook is suspended on a spring scale in an elevator. The scale shows the highest reading
when the elevator:
a) moves upwards with increasing speed
b) moves upwards with decreasing speed
c) remains stationary
d) moves downwards with increasing speed
e) moves downwards with decreasing speed
6. In a tug-of-war, two men each pull against one another with a force of 250 N. The tension in the rope is
a) 0 N
b) 125 N
c) 250 N
d) 354 N
e) 500 N
7. A car travels east at constant velocity. The net force on the car is:
a) east
b) west
c) up
d) down
e) zero
⃗ on the table. The reaction to this force is:
8. A book rests on a table, exerting a downward force F
a) force of earth on book
b) force of table on book
c) force of earth on table
d) force of book on earth
e) inertia of the book
3
9. A 1 kg block is lifted vertically 1 m by a boy. The work done by the boy is:
a) 0.5 Nm
b) 1 J
c) 10 J
d) 0.1 J
e) zero
10. Which of the following bodies has the largest kinetic energy?
a) mass 3M and speed V
b) mass 3M and speed 2V
c) mass 2M and speed 3V
c) mass M and speed 4V
e) all four of the above have the same kinetic energy
11. A golf ball is struck by a golf club and falls on a green, eight feet north of the tee. The potential energy of
the ball is greatest:
a) just before being struck
b) just after being struck
c) just after landing on the green d) when it comes to rest on the green
e) when it reaches the highest point in its flight
12. A good example of kinetic energy is:
a) a wound-up clock spring
b) the raised weights of a grandfather clock
c) a tornado
d) 5 L of gasoline
e) an automobile storage battery
13. Two objects, P and Q, have the same momentum. Q can have more kinetic energy than P if it:
a) weighs more than P
b) is moving faster than P
c) weighs the same as P
d) is moving slower than P
e) is moving at the same speed as P
14. The momentum of an object at a given instant is independent of its:
a) inertia
b) mass
c) speed
d) velocity
e) acceleration
15. Two bodies of unequal mass, placed on a frictionless surface, are acted on by equal horizontal forces for
equal times. Just after these forces are removed, the body of greater mass will have:
a) the greater speed
b) the greater acceleration
c) the smaller momentum
d) the greater momentum
e) the same momentum as the other body
4
NAME:____________________________________________________________
Nov. 21, 2012
CEGEP Vanier College, Faculty of Science and General Studies
Department Of Physics, Autumn 2012
203-104-VA: Applied Science
TEST 2 – makeup – v1 (1h 30 minutes)
Instructions:
➔ The following test contains 4 pages (including this page).
➔ Unless otherwise specified, answer all questions in the exam booklet provided.
➔ If you use more than one exam booklet, write your name and student number on each booklet.
➔ You may attempt the questions in any order.
➔ Clearly label which question and part you are attempting.
➔ You are permitted to use a scientific calculator, ruler, pens or pencils, and one double-sided
handwritten 8.5” by 11” memory aid. All other personal items must be placed along the front or
side of the room.
➔ Show enough work to prove to the marker that you understand the physics ideas and can apply
them.
➔ If you draw a box around every final answer, you will be granted 1 bonus mark.
➔ Good luck.
g =9.8 N / kg
Material
1GPa =1000 MPa=1×10 9 Pa
1 m=100 cm=1000 mm
1 kg =1000 g
1 m 3=1000 L
Helpful Constants:
Young's Modulus (GPa)
Yield Strength (MPa)
Ultimate Strength (MPa)
2–4
45
75
Aluminum
69
95
110
Steel (ASTM-A36)
200
250
400
Nylon
Material
Interstellar space
Density (kg/m3) Material
Density (kg/m3)
920
Oil
10−20
Air: 20 C and 1 atm pressure
20o C and 50 atm
1.21
60.5
Water: 20 C and 1 atm
20o C and 50 atm
998
1000
Styrofoam
100
Seawater
1030
Wood
400
Aluminum
2710
Gasoline
680
Steel (ASTM-A36)
7850
Ice
917
Mercury (metal, not planet)
13600
o
o
Pressure (Pa)
Pressure (Pa)
Center of Earth
4×1011
Automobile tire (gauge pressure)
Deepest ocean trench (bottom)
1.1×108
Atmosphere at sea level
1.01×10
Spike heels on a dance floor
1.0×10 6
Normal blood systolic pressure
1.6×10 4
1
2×105
5
QUESTION 1 [14 pts]
A aluminum cable with a radius of 12.5 mm has an unstretched length of 1.50 km .
a) Calculate the strain in the cable when it is stretched to a total length of 1.55 km .
b) Calculate the stress in the cable when it is subjected to a strain of 0.2%.
c) Find the maximum tensile force this cable can hold without breaking.
QUESTION 2 [8 pts]
What gauge pressure must a machine produce in order to suck mud of density 1800 kg /m 3 up a tube by
a height of 1.5 m ?
QUESTION 3 [6 pts]
A hydraulic lever has one piston of diameter d 1=3.80 cm and the other piston of diameter
d 2=53.0 cm . What force must be applied to the smaller piston to obtain a force of 20.0 kN at the
larger piston?
QUESTION 4 [12 pts]
A hollow spherical iron shell floats almost completely submerged in water. The outer diameter is
60.0 cm and the density of iron is 7.87 g /cm 3 . Find the inner diameter. The volume of a sphere is
4
3
2
given by V = π r .
QUESTION 5 [18 pts]
The intake in the figure has a cross-sectional area of 0.74 m 2
and water flows through it at a speed of 0.40 m/ s . At the outlet,
a distance D=180 m below the intake, the cross-sectional area
is smaller than at the intake and the water flows out at 9.5 m/ s
into the generator building.
a) How long would it take to fill a 6000L bucket with
water from this pipe? [6]
b) Find the pressure difference between the intake and
outlet.[12]
QUESTION 6 [20 pts]
Short-Answer Questions
a) A thick rope is stronger (it can support a greater tension) than a thin rope of the same material.
i. How much stronger is a twice-as-thick rope? [4]
ii. How much stronger is a twice-as-long rope? [4]
b) Briefly explain why a sharp knife cuts better than a dull knife. [4]
c) When you are bathing on a stony beach, why do the stones hurt your feet less when you get deep
in the water? Briefly explain. [4]
d) Briefly explain why it is inaccurate to say that heavy objects sink. [4]
2
PART B – Multiple Choice Questions [30]
For each of the following questions, circle the best answer. Each question is worth 2 points.
Do not guess. 0.4 marks will be deducted for each wrong answer.
1. Young's modulus is a proportionality constant that relates the force per unit area applied perpendicularly at
the surface of an object to:
a) the shear
b) the fractional change in volume
c) the fractional change in length
d) the pressure
e) the spring constant
2. A force of 5000 N is applied outwardly to each end of a 5.0 m long rod with a radius of
a Young's modulus of 125×108 N / m 2 . The elongation in mm of the rod is:
a) 0.0020
b) 0.0040
c) 0.14
d) 0.71
e) 1.42
34.0 cm and
3. The principle of fluid pressure which is used in hydraulic brakes or lifts is that:
a) pressure is the same at all levels in a fluid
b) increases of pressure are transmitted equally to all parts of a fluid
c) the pressure at a point in a fluid is due to the weight of the fluid above it
d) increases of pressure can only be transmitted through fluids
e) the pressure at a given depth is proportional to the depth of the fluid
4. If two identical blocks of ice float in water as shown, then
a) block A displaces a greater volume of water since the
pressure acts on a smaller bottom area
b) block B displaces a greater volume of water since the
pressure is less on its bottom
c) the two blocks displace equal volumes of water since they
have the same weight
d) the density of block A is less than that of block B
e) the density of block A is more than that of block B
5. The density of water is 1.0 g/cm3. The density of the oil in the left column of
the U-tube shown is:
a) 0.20 g/cm3
b) 0.80 g/cm3
c) 1.0 g/cm3
d) 1.3 g/cm3
e) 5.0 g/cm3
6. A block of ice at 0 oC is floating on the surface of ice water in a beaker. The surface of the water just
comes to the top of the beaker. When the ice melts the water level will:
a) rise and overflow will occur
b) remain the same
c) fall
d) depend on the initial ratio of water to ice
e) depend on the shape of the block of ice
7. The pressure exerted on the ground by a man's feet is greatest when:
a) he stands with both feet flat on the ground
b) he stands flat on one foot
c) he stands on the toes of one foot
d) he lies down on the ground
e) all of the above yield the same pressure
3
8. Several cans of different sizes and shapes are all filled with the same liquid to the same depth. Then:
a) the weight of the liquid is the same for all cans
b) the force of the liquid on the bottom of each can is the same
c) the least pressure is at the bottom of the can with the largest bottom area
d) the greatest pressure is at the bottom of the can with the largest bottom area
e) the pressure on the bottom of each can is the same
9. Which of the following five statements, concerning the upper surface pressure of a liquid, is FALSE?
a) it is independent of the surface area
b) it is the same for all points on that surface
c) it would not increase if the liquid depth were increased
d) it would increase if the liquid density were increased
e) it would increase if the atmospheric pressure increased
10. A student standardizes the concentration of a salt-water solution by slowly adding salt until an egg will just
float. The procedure is based on the assumption that:
a) all eggs have the same volume
b) all eggs have the same weight
c) all eggs have the same density
d) all eggs have the same shape
e) the salt tends to neutralize the cholesterol in the egg
11. A loaded ship passes from a lake (fresh water) to the ocean (salt water). Salt water is more dense than fresh
water and as a result the ship will:
a) ride higher in the water
b) settle lower in the water
c) ride at the same level in the water
d) experience an increase in buoyant force
e) experience a decrease in buoyant force
12. A non-viscous incompressible liquid is flowing through a horizontal pipe of constant cross-section.
Bernoulli's equation and the equation of continuity predict that the drop in pressure along the pipe:
a) is zero
b) depends on the length of the pipe
c) depends on the fluid velocity
d) depends on the cross-sectional area of the pipe
e) depends on the height of the pipe
13. The quantity y appearing in Bernoulli's equation MUST be measured:
a) upward from the center of the Earth
b) upward from the surface of the Earth
c) upward from the lowest point in the flow
d) downward from the highest point in the flow
e) upward from any convenient level
14. Consider a pipe containing a fluid, with the fluid being at rest. To apply Bernoulli's equation to this
situation:
a) set v equal to zero because there is no motion
b) set g equal to zero because there is no acceleration
c) set v and g both equal to zero
d) set p equal to the atmospheric pressure
e) cannot be done, Bernoulli's equation applies only to fluids in motion
15. A large water tank, open at the top, has a small hole in the bottom. When the water level is 30 m above the
bottom of the tank, the speed of the water leaking from the hole:
a) is 2.5 m/s
b) is 24 m/s
c) is 44 m/s
d) cannot be calculated unless the area of the hole is given
e) cannot be calculated unless the areas of the hole and tank are given
4
NAME:____________________________________________________________
Nov. 13, 2012
CEGEP Vanier College, Faculty of Science and General Studies
Department Of Physics, Autumn 2012
203-104-VA: Applied Science
TEST 2 – v1 (1h 30 minutes)
Instructions:
➔ The following test contains 4 pages (including this page).
➔ Unless otherwise specified, answer all questions in the exam booklet provided.
➔ If you use more than one exam booklet, write your name and student number on each booklet.
➔ You may attempt the questions in any order.
➔ Clearly label which question and part you are attempting.
➔ You are permitted to use a scientific calculator, ruler, pens or pencils, and one double-sided
handwritten 8.5” by 11” memory aid. All other personal items must be placed along the front or
side of the room.
➔ Show enough work to prove to the marker that you understand the physics ideas and can apply
them.
➔ If you draw a box around every final answer, you will be granted 1 bonus mark.
➔ Good luck.
g =9.8 N / kg
Material
1GPa =1000 MPa=1×10 9 Pa
1 m=100 cm=1000 mm
1 kg =1000 g
1 m 3=1000 L
Helpful Constants:
Young's Modulus (GPa)
Yield Strength (MPa)
Ultimate Strength (MPa)
2–4
45
75
Aluminum
69
95
110
Steel (ASTM-A36)
200
250
400
Nylon
Material
Interstellar space
Density (kg/m3) Material
Density (kg/m3)
920
Oil
10−20
Air: 20 C and 1 atm pressure
20o C and 50 atm
1.21
60.5
Water: 20 C and 1 atm
20o C and 50 atm
998
1000
Styrofoam
100
Seawater
1030
Wood
400
Aluminum
2710
Gasoline
680
Steel (ASTM-A36)
7850
Ice
917
Mercury (metal, not planet)
13600
o
o
Pressure (Pa)
Pressure (Pa)
Center of Earth
4×1011
Automobile tire (gauge pressure)
Deepest ocean trench (bottom)
1.1×108
Atmosphere at sea level
1.01×10
Spike heels on a dance floor
1.0×10 6
Normal blood systolic pressure
1.6×10 4
1
2×105
5
Scrap Paper – Nothing on this page will be graded.
2
QUESTION 1 [14 pts]
A force of 10 kN acts on a circular steel rod with a radius of 5 mm and an original length of 20 m .
a) Find the stress acting on the rod. [6]
b) Find the rod's length after the 10 kN force is applied. [6]
c) Will the cable experience elastic deformation, plastic deformation, both elastic and plastic
deformation, or neither? Briefly explain how you can tell. [2]
QUESTION 2 [12 pts]
Given the stress vs strain graph shown,
a) Find the modulus of elasticity. [5]
b) Find the yield stress. [2]
c) Find the strain after fracture. [3]
d) Could this stress vs strain graph apply to any
of the materials (nylon, aluminum, or
ASTM-A36 steel) listed in the table on the
first page of this exam?
Briefly explain why or why not. [2]
σ(MPa )
150
100
50
0
0.01
0.02
B
30 cm
30 cm
3
30 cm
A
30 cm
QUESTION 3 [10 pts]
Two flasks, shown below, are filled with seawater to a depth of 30 cm . Each flask has a diameter of
30 cm at the bottom. Flask A has a diameter of 10 cm at the top. Both flasks are open to the
atmosphere at the top.
a) Which flask has higher pressure acting at the bottom? Briefly explain. [3]
b) Find the absolute pressure exerted by the water on the bottom of flask A. [4]
c) Determine the magnitude of force exerted by the water on the bottom of flask A. [3]
ϵ
QUESTION 4 [8 pts]
A hydraulic lever has one piston of area A1=0.0030 m 2 and the other piston of area A2 =0.048 m 2 .
a) What force must be applied to the smaller piston to obtain a force of 1600 N at the larger
piston? [4]
b) How far must the smaller piston be moved in order to move the larger piston 1.5 m ? [4]
QUESTION 5 [12 pts]
A cylindrical tank that's full of oil is submerged just below the surface of the ocean (it isn't sinking, but it
is completely covered by seawater). The tank has a radius of R=1.0 m and a height of H =5.0 m .
a) Find the buoyant force acting on the tank. [6]
b) Find the mass of the tank including the oil inside. [4]
c) If the oil was removed from the tank, and the same tank was filled with air at 1 atm , could it
support the weight of a 20 kg dog (named Sharkbait) and still float? How can you tell? [2]
QUESTION 6 [18 pts]
Oil flows at 1.50 m/ s with a pressure of 2.00×105 Pa through a horizontal pipe with a radius of
6.00 cm . Further along the pipe the radius is reduced to 2.00 cm .
a) How long (in seconds) would it take to fill a 1500 L container of oil using this pipe? [6]
b) Determine the velocity at the narrow point in the pipe. [4]
c) Determine the pressure at the narrow point in the pipe. [8]
QUESTION 7 [12 pts]
Short-Answer Questions
a) A boat with a big piece of styrofoam on board floats in a swimming pool that is a bit wider than
the boat. If the styrofoam is dropped into the water, where it floats, does the pool water level rise,
fall, or remain the same? Briefly explain. [4]
b) A wire is stretched right to its breaking point by a 5000 N force. A longer wire made of the same
material has the same diameter. Is the force that will stretch it right to its breaking point larger
than, smaller than, or equal to 5000 N? Briefly explain. [4]
c) True or False: In a fluid undergoing steady flow, the velocity of any given molecule of fluid does
not change. Briefly explain. [4]
4
NAME:____________________________________________________________
Nov. 14, 2012
CEGEP Vanier College, Faculty of Science and General Studies
Department Of Physics, Autumn 2012
203-104-VA: Applied Science
TEST 2 – v2 (1h 30 minutes)
Instructions:
➔ The following test contains 4 pages (including this page).
➔ Unless otherwise specified, answer all questions in the exam booklet provided.
➔ If you use more than one exam booklet, write your name and student number on each booklet.
➔ You may attempt the questions in any order.
➔ Clearly label which question and part you are attempting.
➔ You are permitted to use a scientific calculator, ruler, pens or pencils, and one double-sided
handwritten 8.5” by 11” memory aid. All other personal items must be placed along the front or
side of the room.
➔ Show enough work to prove to the marker that you understand the physics ideas and can apply
them.
➔ If you draw a box around every final answer, you will be granted 1 bonus mark.
➔ Good luck.
g =9.8 N / kg
Material
1GPa =1000 MPa=1×10 9 Pa
1 m=100 cm=1000 mm
1 kg =1000 g
1 m 3=1000 L
Helpful Constants:
Young's Modulus (GPa)
Yield Strength (MPa)
Ultimate Strength (MPa)
2–4
45
75
Aluminum
69
95
110
Steel (ASTM-A36)
200
250
400
Nylon
Material
Interstellar space
Density (kg/m3) Material
Density (kg/m3)
920
Oil
10−20
Air: 20 C and 1 atm pressure
20o C and 50 atm
1.21
60.5
Water: 20 C and 1 atm
20o C and 50 atm
998
1000
Styrofoam
100
Seawater
1030
Wood
400
Aluminum
2710
Gasoline
680
Steel (ASTM-A36)
7850
Ice
917
Mercury (metal, not planet)
13600
o
o
Pressure (Pa)
Pressure (Pa)
Center of Earth
4×1011
Automobile tire (gauge pressure)
Deepest ocean trench (bottom)
1.1×108
Atmosphere at sea level
1.01×10
Spike heels on a dance floor
1.0×10 6
Normal blood systolic pressure
1.6×10 4
1
2×105
5
Scrap Paper – Nothing on this page will be graded.
2
QUESTION 1 [14 pts]
A steel cable with a radius of 2.5 mm and an original length of 6.0 m is subjected to a 1200 N force.
a) Calculate the stress in the cable. [6]
b) Find the cable's length after the force is applied. [6]
c) Will the cable experience elastic deformation, plastic deformation, both elastic and plastic
deformation, or neither? Briefly explain how you can tell. [2]
QUESTION 2 [12 pts]
Given the stress vs strain graph shown,
a) Find the modulus of elasticity. [5]
b) Find the yield stress. [2]
c) Find the strain after fracture. [3]
d) Could this stress vs strain graph apply to any
of the materials (nylon, aluminum, or
ASTM-A36 steel) listed in the table on the
first page of this exam?
Briefly explain why or why not. [2]
σ(MPa )
300
200
100
0
0.01
0.02
ϵ
QUESTION 3 [10 pts]
A goldfish swims 25 cm below the surface of a freshwater aquarium.
a) Find the pressure acting on the goldfish. [5]
b) If the goldfish has a surface area of 10 cm 2 on its right side, find the magnitude of the force
pushing on the goldfish's right side. [3]
c) Briefly explain why this force doesn't push the goldfish to the left. [2]
QUESTION 4 [8 pts]
2
2
A hydraulic lever has one piston of area A1=0.0030 m and the other piston of area A2 =0.048 m .
a) What force must be applied to the smaller piston to obtain a force of 1600 N at the larger
piston? [4]
b) How far must the smaller piston be moved in order to move the larger piston 1.5 m ? [4]
QUESTION 5 [12 pts]
A cylindrical tank that's full of oil is submerged just below the surface of the ocean (it isn't sinking, but it
is completely covered by seawater). The tank has a radius of R=1.0 m and a height of H =5.0 m .
a) Find the buoyant force acting on the tank. [6]
b) Find the mass of the tank including the oil inside. [4]
c) If the oil was removed from the tank, and the same tank was filled with air at 1 atm , could it
support the weight of a 20 kg dog (named Sharkbait) and still float? How can you tell? [2]
3
QUESTION 6 [18 pts]
A closed section of horizontal cylindrical pipe contains fresh water which flows steadily. In the first
section, the radius of the pipe is 2 cm , but it gets narrower in the second section, where the radius is
0.75 cm . The water has a velocity of 2 m/ s in the first section
a) How long would it take to fill a 60L bucket with water from this pipe? [6]
b) Find the velocity of the water in the narrower section of pipe.[4]
c) Find the pressure of the water in the narrower section of pipe. [8]
QUESTION 7 [12 pts]
Short-Answer Questions
a) A boat with an anchor on board floats in a swimming pool that is a bit wider than the boat. If the
anchor is dropped into the water, does the pool water level rise, fall, or remain the same? Briefly
explain. [4]
b) True or False: A solid that has been elastically deformed cannot return to its original size. Briefly
explain. [4]
c) True or False: In a fluid undergoing "incompressible" flow, the velocity at a given point cannot
change with time. Briefly explain. [4]
4
NAME:____________________________________________________________
Dec. 11, 2012
CEGEP Vanier College, Faculty of Science and General Studies
Department Of Physics, Autumn 2012
203-104-VA: Applied Science
TEST 3 – v1 (1h 50 minutes)
Instructions:
➔ The following test contains 5 pages (including this page).
➔ Unless otherwise specified, answer all questions in the exam booklet provided.
➔ If you use more than one exam booklet, write your name and student number on each booklet.
➔ You may attempt the questions in any order.
➔ Clearly label which question and part you are attempting.
➔ You are permitted to use a scientific calculator, ruler, pens or pencils, and one double-sided
handwritten 8.5” by 11” memory aid. All other personal items must be placed along the front or
side of the room.
➔ Show enough work to prove to the marker that you understand the physics ideas and can apply
them.
➔ If you draw a box around every final answer, you will be granted 1 bonus mark.
➔ Good luck.
1GPa =1000 MPa=1×10 9 Pa
1 m=100 cm=1000 mm
1 kg =1000 g
1 m 3=1000 L
1 cal=4.186 J
Helpful Constants:
g =9.8 N / kg
1Cal =4186 J
Temperature Conversion Formulas:
Conversion
Formula
Conversion
o
C→ F
o
9
F =oC × +32
5
K→ C
o
C→K
K =oC +273.15
K→ F
o
C → oR
o
F → oC
o
F →K
o
F → oR
o
o
o
R =( C +273.15 )×
o
C =( o F – 32)×
o
o
o
o
9
5
o
5
9
R =o F +459.67
1
o
R → oC
o
R→ F
o
R →K
o
C = K – 273.15
9
F =K × – 459.67
5
K → oR
5
9
K =( F +459.67 ) ×
Formula
o
o
o
R =K×
9
5
C =( o R – 491.67 )×
o
F =o R – 459.67
K =o R ×
5
9
5
9
Coefficients of linear and volume thermal expansion at 20 oC
Substance
Linear α
Volume β
( K −1 )
(K −1 )
Aluminum
23×10−6
69×10−6
Glass
9×10−6
27×10−6
Iron or Steel
12×10−6
36×10−6
Concrete
12×10−6
36×10−6
Specific heats of selected solids, liquids, and gases
c (J /kg⋅K )
Solids
Liquids
c (J /kg⋅K )
Gases
c (J /kg⋅K )
Water Vapour
1996
Iron
449
Mercury
140
Aluminum
900
Ethyl Alcohol
2400
Water Ice
2090
Water
4190
Mammalian
Body
3400
Melting/boiling temperatures and heats of transformation at standard atmospheric pressure
Tm
( oC )
Lf
(J /kg )
Tb
( C)
Lv
( J /kg )
Nitrogen
−210
0.26×105
−196
1.99×105
Mercury
−39
0.11×10 5
357
2.96×105
Water
0
3.33×105
100
22.6×105
Lead
328
0.25×10 5
1750
8.58×105
Substance
2
o
PART A – TRUE OR FALSE [ 16 pts]
Use the blank spaces to indicate whether each question is TRUE or FALSE.
The boiling point of water is 373.15 o F .
If a material has a positive coefficient of thermal expansion, then it cannot shrink in size
due to a temperature change.
The parameter known in class as “blind fish” is the coefficient of linear thermal
expansion.
When sun rays strike your skin, the skin heats up due to radiation.
There are three known kinds of charge: positive, negative, and neutral.
Efficiency is the ratio of what you get to what you had to pay.
Thermal energy cannot be transformed to other forms of energy with 100% efficiency.
Entropy is a measure of messiness.
PART B – MULTIPLE CHOICE [20 pts]
For each question, circle the best answer.
1. If two objects are in thermal equilibrium with each other
A) they cannot be moving
B) they cannot be undergoing an elastic collision
C) they cannot have different pressures
D) they cannot be at different temperatures
E) they cannot be falling in the Earth's gravitational field
2. Thin strips of iron and zinc are riveted together to form a bimetallic strip which bends when heated. The
iron is on the inside of the bend because:
A) it has a higher coefficient of linear expansion B) it has a lower coefficient of linear expansion
C) it has a higher specific heat
D) it has a lower specific heat
E) it conducts heat better
3. During the time that latent heat is involved in a change of state:
A) the temperature does not change
B) the substance always expands
C) a chemical reaction takes place
D) molecular activity remains constant
E) kinetic energy changes into potential energy
3
4. Inside a room at a uniform comfortable temperature, metallic objects generally feel cooler to the touch than
wooden objects do. This is because:
A) a given mass of wood contains more heat than the same mass of metal
B) metal conducts heat better than wood
C) heat tends to flow from metal to wood
D) the equilibrium temperature of metal in the room is lower than that of wood
E) the human body, being organic, resembles wood more closely than it resembles metal
5. To help keep buildings cool in the summer, dark colored window shades have been replaced by light
colored shades. This is because light colored shades:
A) are more pleasing to the eye
B) absorb more sunlight
C) reflect more sunlight
D) transmit more sunlight
E) have a lower thermal conductivity
6. An inventor suggests that a house might be heated by using a refrigerator to draw energy as heat from the
ground and reject energy as heat into the house. He claims that the energy supplied to the house can exceed the
work required to run the refrigerator. This:
A) is impossible by first law
B) is impossible by second law
C) would only work if the ground and the house were at the same temperature
D) is impossible since heat flows from the (hot) house to the (cold) ground
E) is possible
7. To make an uncharged object have a positive charge:
A) remove some neutrons
B) add some neutrons
C) add some electrons
D) remove some electrons
E) heat it to cause a change of phase
8. A neutral metal ball is suspended by a string. A positively charged insulating rod is placed near the ball,
which is observed to be attracted to the rod. This is because:
A) the ball becomes positively charged by induction
B) the ball becomes negatively charged by induction
C) the number of electrons in the ball is more than the number in the rod
D) the string is not a perfect insulator
E) there is a rearrangement of the electrons in the ball
9. A positively charged insulating rod is brought close to an object that is suspended by a string. If the object is
repelled away from the rod we can conclude:
A) the object is positively charged
B) the object is negatively charged
C) the object is an insulator
D) the object is a conductor
E) none of the above
10. The leaves of a positively charged electroscope diverge more when an object is brought near the knob of
the electroscope. The object must be:
A) a conductor
B) an insulator
C) positively charged
D) negatively charged
E) uncharged
4
PART C – Short Answer Questions [56 pts]
Answer the following questions in your exam sheet.
1. Perform the following temperature conversions:
a) Convert 12 o F to oC . [2]
b) Convert 98.6 oC to o R . [2]
2. In the summer, when the temperature is 30 oC , a 3 m tall steel column is bolted on top of a
3 m tall concrete column for a total height of 6 m above the ground. Find the height, above the
ground, of the same steel column on a cold winter day when the temperature is −20 oC . [10]
3. List the three methods for heat transfer and give an example of each one. [6]
4. During a thirty second time interval, a system receives 2000 J of heat while it does 800 J of
work on its environment. Present the first law of thermodynamics in equation form, and
determine the change in total energy of the system over that thirty second interval of time. [4]
5. A perfectly insulating container initially contains 1.2 kg of water at 77 oC . Find its final
temperature after 1.4 kg of iron at 24 oC is added and the system is allowed to come to thermal
equilibrium. [10]
6. A perfectly insulating cup initially contains 0.500 kg of water at 98 oC . A 0.150 kg piece of
ice with an initial temperature of −18 oC is added to the water. Set up an equation that would
allow you to solve for the final temperature of the system, assuming that the final state is liquid.
You must substitute in all known numerical values, but you do not have to solve the equation. [8]
7. Briefly explain how an electroscope can be used to detect whether an object is charged. Include a
sketch as part of your explanation. [6]
8. A given electric kettle can convert electricity into heat with 85 % efficiency. You're using the
kettle to increase the temperature of 0.6 kg of water by 75 oC .
a) How much electrical energy does the kettle require (in J )? [6]
b) If the kettle uses a current of 10 A at a voltage of 120 V , how long (in seconds) does it take
to heat the water? [4]
Hint: use Power=
Energy (J)
Time (s)
5
NAME:____________________________________________________________
Dec. 12, 2012
CEGEP Vanier College, Faculty of Science and General Studies
Department Of Physics, Autumn 2012
203-104-VA: Applied Science
TEST 3 – v1 (1h 50 minutes)
Instructions:
➔ The following test contains 5 pages (including this page).
➔ Unless otherwise specified, answer all questions in the exam booklet provided.
➔ If you use more than one exam booklet, write your name and student number on each booklet.
➔ You may attempt the questions in any order.
➔ Clearly label which question and part you are attempting.
➔ You are permitted to use a scientific calculator, ruler, pens or pencils, and one double-sided
handwritten 8.5” by 11” memory aid. All other personal items must be placed along the front or
side of the room.
➔ Show enough work to prove to the marker that you understand the physics ideas and can apply
them.
➔ If you draw a box around every final answer, you will be granted 1 bonus mark.
➔ Good luck.
1GPa =1000 MPa=1×10 9 Pa
1 m=100 cm=1000 mm
1 kg =1000 g
1 m 3=1000 L
1 cal=4.186 J
Helpful Constants:
g =9.8 N / kg
1Cal =4186 J
Temperature Conversion Formulas:
Conversion
Formula
Conversion
o
C→ F
o
9
F =oC × +32
5
K→ C
o
C→K
K =oC +273.15
K→ F
o
C → oR
o
F → oC
o
F →K
o
F → oR
o
o
o
R =( C +273.15 )×
o
C =( o F – 32)×
o
o
o
o
9
5
o
5
9
R =o F +459.67
1
o
R → oC
o
R→ F
o
R →K
o
C = K – 273.15
9
F =K × – 459.67
5
K → oR
5
9
K =( F +459.67 ) ×
Formula
o
o
o
R =K×
9
5
C =( o R – 491.67 )×
o
F =o R – 459.67
K =o R ×
5
9
5
9
Coefficients of linear and volume thermal expansion at 20 oC
Substance
Linear α
Volume β
( K −1 )
(K −1 )
Aluminum
23×10−6
69×10−6
Glass
9×10−6
27×10−6
Iron or Steel
12×10−6
36×10−6
Concrete
12×10−6
36×10−6
Specific heats of selected solids, liquids, and gases
c (J /kg⋅K )
Solids
Liquids
c (J /kg⋅K )
Gases
c (J /kg⋅K )
Water Vapour
1996
Iron
449
Mercury
140
Aluminum
900
Ethyl Alcohol
2400
Water Ice
2090
Water
4190
Mammalian
Body
3400
Melting/boiling temperatures and heats of transformation at standard atmospheric pressure
Tm
( oC )
Lf
(J /kg )
Tb
( C)
Lv
( J /kg )
Nitrogen
−210
0.26×105
−196
1.99×105
Mercury
−39
0.11×10 5
357
2.96×105
Water
0
3.33×105
100
22.6×105
Lead
328
0.25×10 5
1750
8.58×105
Substance
2
o
PART A – TRUE OR FALSE [16 pts]
Use the blank spaces to indicate whether each question is TRUE or FALSE.
The freezing point of water is 491.67 o R .
When a square steel plate with a circular hole cut in its center is heated, the area of the
hole gets bigger.
Specific heat capacity is a parameter associated with solids only.
When sun rays strike your skin, the skin heats up due to radiation.
The 2nd law of thermodynamics states that heat always flows from cold objects to hot
objects.
There are three known kinds of charge: positive, negative, and neutral.
Efficiency is the ratio of what you get to what you had to pay.
The energy transfer associated with a phase transition is called latent heat because it
refers to a hidden energy transfer.
PART B – MULTIPLE CHOICE [20 pts]
For each question, circle the best answer.
1. Suppose object C is in thermal equilibrium with object A and with object B. The zeroth law of
thermodynamics states:
A) that C will always be in thermal equilibrium with both A and B
B) that C must transfer energy to both A and B
C) that A is in thermal equilibrium with B
D) that A cannot be in thermal equilibrium with B
E) nothing about the relationship between A and B
2. The two metallic strips that constitute some thermostats must differ in:
A) length
B) thickness
C) mass
D) rate at which they conduct heat
E) coefficient of linear expansion
3. The formation of ice from water is accompanied by:
A) absorption of energy as heat
B) temperature increase
C) decrease in volume
D) an evolution of heat
E) temperature decrease
3
4. An iron stove, used for heating a room by radiation, is more efficient if:
A) its inner surface is highly polished
B) its inner surface is covered with aluminum paint
C) its outer surface is covered with aluminum paint
D) its outer surface is rough and black
E) its outer surface is highly polished
5. Which of the following statements pertaining to a vacuum flask (thermos) is NOT correct?
A) Silvering reduces radiation loss
B) Vacuum reduces conduction loss
C) Vacuum reduces convection loss
D) Vacuum reduces radiation loss
E) Glass walls reduce conduction loss
6. On a very cold day, a child puts his tongue against a fence post. It is much more likely that his tongue will
stick to a steel post than to a wooden post. This is because:
A) steel has a higher specific heat
B) steel is a better radiator of heat
C) steel has a higher specific gravity
D) steel is a better heat conductor
E) steel is a highly magnetic material
7. In a thermally insulated kitchen, an ordinary refrigerator is turned on and its door is left open. The
temperature of the room:
A) remains constant according to the first law of thermodynamics
B) increases according to the first law of thermodynamics
C) decreases according to the first law of thermodynamics
D) remains constant according to the second law of thermodynamics
E) increases according to the second law of thermodynamics
8. An electrical insulator is a material:
A) containing no electrons
B) through which electrons do not flow easily
C) which has more electrons than protons on its surface
D) cannot be a pure chemical element
E) must be a crystal
9. A positively charged metal sphere A is brought into contact with an uncharged metal sphere B. As a result:
A) both spheres are positively charged
B) A is positively charged and B is neutral
C) A is positively charged and B is negatively charged
D) A is neutral and B is positively charged
E) A is neutral and B is negatively charged
10. A negatively charged rubber rod is brought near the knob of a positively charged electroscope. The result
is that:
A) electroscope leaves will move farther apart
B) the rod will lose its charge
C) electroscope leaves will tend to collapse
D) electroscope will become discharged
E) nothing noticeable will happen
4
PART C – Short Answer Questions [54 pts]
Answer the following questions in your exam sheet.
1. Perform the following temperature conversions: [4]
a) Convert 74 o F to oC .
b) Convert 37 oC to o R .
2. An unknown material is 0.4 m long when it is at 23 oC . When it is heated to 50 oC , it grows
by 3 mm , becoming 0.403 m in length. Calculate the coefficient of linear thermal expansion
of this material. [6]
3. List the three methods of heat transfer and give an example of each one. [6]
4. During a thirty second time interval, a system receives 1000 J of heat while it does 400 J of
work on its environment. Present the first law of thermodynamics in equation form, and
determine the change in total energy of the engine over that thirty second time interval. [4]
5. A perfectly insulating container initially contains 2.4 kg of water at 88 oC . Find its final
temperature after 2.8 kg of aluminum at 22 oC is added and the system is allowed to come to
thermal equilibrium. [10]
6. A perfectly insulating cup initially contains 0.400 kg of water at 98 oC . A 0.200 kg piece of
ice with an initial temperature of −25 oC is added to the water. Set up an equation that would
allow you to solve for the final temperature of the system, assuming that the final state is liquid.
You must substitute in all known numerical values, but you do not have to solve the equation. [8]
7. Briefly explain how an electroscope can be used to detect whether an object is charged. Include a
sketch as part of your explanation. [6]
8. A given microwave oven can convert electricity into heat with 65 % efficiency. You're using
the microwave to increase the temperature of 1.0 kg of water by 80 oC .
a) How much electrical energy does the microwave require (in J)? [6]
b) If the microwave uses a current of 12 A at a voltage of 120 V , how long (in seconds) does
it take to heat the water? [4]
Hint: use Power=
Energy (J)
Time (s)
5
Study Guide and Recommended Problems for Physics 203-104-VA, Autumn 2012
From OpenStax College, College Physics. OpenStax College. 21 June 2012. <http://cnx.org/content/col11406/latest/>
This guide is meant to give students a study structure to support in-class learning. Chapter references refer to the
College Physics text book. This text is aimed at university physics courses and thus has 2 problems for us: first,
it contains way more information here than we need; second, it’s missing some topics for our course. That said,
this text book is completely free and the alternative is to have no text at all.
In this study guide, key concepts are identified or each section of assigned reading. Be sure to do all of the
‘Check Your Understanding’ activities in the book, and ask your teacher if you have further questions.
Example, conceptual question, and problem numbers correspond to the PDF version of the text; the online
version has the same content but they restart numbering from 1 for each section.
Solutions: When you use the online version of the text book, every second problem has a solution which you
can see by clicking on a “Show Solution” button. Fully worked solutions to many of the assigned problems are
available in the student solution manual (SSM), which is also a free download.
Chapter 1: Introduction: The Nature of Science and Physics
• Reading:
o 1.1: Focus on the differences between models, theories, laws, the role of experimentation and
the scientific method.
o 1.2: You need to be able to identify the SI units and be able to convert reliably from one set of
units to another.
• Examples: 1
• Conceptual Questions: 2, 4, 10
• Problems: 1, 2, 3, 4, 7, 10, 15
Chapter 2: Kinematics
• Reading:
o 2.1: Focus on displacement vs distance.
o 2.3: Focus on understanding velocity, average velocity, and speed. Try to understand the
three graphs in Figure 2.11.
o 2.4: Focus on acceleration, and be able to calculate the average acceleration. Don’t worry
about the idea that acceleration is a vector; we don’t include vectors in our course. Do be sure
to understand Figure 2.14.
o 2.5: Be sure to understand how to use the motion equations to solve problems.
o 2.6 (optional): This is a suggested framework for solving 1D kinematics problems. You can
use whatever technique you’d like; the best way to learn is to actually solve lots of problems.
o 2.7 (optional): This is really just a special application of section 2.5, with the acceleration
always caused by gravity.
o 2.8: Focus on understanding the displacement-time and velocity-time graphs.
• Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
• Conceptual Questions: 1, 9, 10, 15, 16, 30 (a)
• Problems: 1, 3, 7, 14, 15, 16, 18, 20, 21, 23, 25, 26, 27, 29, 32, 42, 48, 60, 62, 64, 66
Chapter 4: Dynamics: Force and Newton’s Laws of Motion
• Reading:
o 4.1: Focus on understanding what a force is. Don’t worry about angled forces.
o 4.2: Focus on Newton’s First Law and the idea of mass.
o 4.3: Focus on Newton’s Second Law and try to understand the free body diagrams. Note the
difference between mass and weight.
o 4.4: Focus on Newton’s Third Law, especially the sentence starting with, “You might think
that the two equal and opposite forces would cancel…”
o 4.5: You need to understand the normal force, tension and friction. The examples use forces
at angles, which is beyond the scope of our class, but you should still be able to do free body
diagrams like in Figure 4.12 and 4.15.
o 4.6 (optional): This is a suggested framework for solving problems. Just like in kinematics,
the best way to learn to solve problems is with lots of practice.
o 4.7: Be able to do the examples that don’t involve forces acting at an angle.
• Examples: 1, 2, 3, 4, 9, 10
• Conceptual Questions: 4, 5, 7, 9, 10, 19, 24
• Problems: 1, 3, 7, 9, 15, 17, 23, 25, 34, 44, 46, 49, 51
Chapter 5: Further Applications of Newton’s Laws: Friction, Drag, and Elasticity
• Reading:
o 5.3: Focus on the definitions of stress, strain, and the elastic modulus (also called Young’s
modulus). You can ignore the notes on shear and changes in volume.
• Examples: 3, 4
• Conceptual Questions: 12
• Problems (see Table 5.3 for the Young’s modulus values): 31 (a), 33, 35
Chapter 6: Uniform Circular Motion and Gravitation
• Reading:
o 6.5: This is for your information; the only formula we might use is equation 6.40.
• Conceptual Questions: 20
• Problems: 33 (but reword the end of the sentence to say, “the radius of the Earth is 6371 km at the
North Pole.”), 39
Chapter 7: Work, Energy, and Energy Resources
• Reading:
o 7.1: Focus on the definition of work. In our class, the angle theta will always be 0o (W = F d)
or 180o (W = - F d) because we’re only considering 1D motion.
o 7.2: The main thing to get here is an understanding of kinetic energy and how to calculate it
(equation 7.12). In example 3, notice that the applied force and friction force each does work
and that we can add up the total work.
o 7.3: Focus on gravitational potential energy and how it’s calculated.
o 7.6: Understand the law of conservation of energy. In our class, Other Energy (OE) will be
zero so we can use the following equation for conservation of energy: Ei + Wnc = Ef, or Ef – Ei
= Wnc. In our class, Wnc will be done either by friction or by an applied force. Also
understand that energy can be transformed from one form to another. Finally, notice the
definition of efficiency; we’ll use this later.
o 7.7: Focus on the definition of power, and be able to calculate it. Also notice that power
equals force times velocity (P = F v), which you can confirm by substituting W = F d into
equation 7.69 and then substituting v = d / t.
• Examples: 2, 3, 4, 5, 6, 7, 11
• Conceptual Questions: 3, 8, 14
• Problems: 1, 3, 9, 11, 13, 16, 18, 27 (you can ignore the last part of the last sentence: “independent of
the direction thrown.”), 32
Chapter 8: Linear Momentum and Collisions
• Reading:
o 8.1: Understand the definition of momentum and be able to calculate momentum given an
object’s mass and speed.
o 8.3: We’re only going to consider conservation of momentum in 1D, like in Figure 8.3.
o 8.4: Focus on the definition of an elastic collision.
o 8.5: Focus on the definition of an inelastic collision and contrast it with an elastic collision.
• Examples: 1, 5, 6
• Conceptual Questions: 1, 2, 4, 9, 13, 14, 15, 16, 17
• Problems: 1, 3, 23, 27, 33, 35 (a, b), 38, 42, 44
Chapter 11: Fluid Statics
• Reading:
o 11.1: Be able to define a fluid.
o 11.2: Understand the definition of density and be able to calculate it given mass and volume.
o 11.3: Understand the definition of pressure and be able to calculate it given force and area.
o 11.4: Understand how pressure varies with depth in a fluid.
• Examples: 1, 2, 3, 4, 5
• Conceptual Questions: 1, 2, 4, 5, 8, 10, 11, 12, 19
• Problems (see Table 11.1 for density values): 1, 3, 4, 6 (a), 8, 11, 13, 14, 20, 22
Chapter 12: Fluid Dynamics and Its Biological and Medical Applications
• Reading:
o 12.1: Understand flow rate and how the flow rate is constant in a series of pipes, leading to the
equation of continuity (12.7).
o 12.2: The key idea (at least for our course) is Bernoulli’s principle (12.23), that the pressure
will drop if a fluid’s speed increases. You must also be able to describe how lift is generated
on an airplane wing.
• Examples: 1, 2, 3, 4
• Conceptual Questions: 1, 4, 9, 11, 12, 14, 17
• Problems: 1, 3, 5, 11, 13, 19, 23
Chapter 13: Temperature, Kinetic Theory, and the Gas Laws
• Reading:
o 13.1: You’ll need to be able to convert between oC, oF, and K. Also be sure that you
understand the zeroth law of thermodynamics.
o 13.2: Identify the difference between thermal expansion in 1D, 2D, and 3D, and be able to
calculate the change in length, change in area, or change in volume corresponding to a change
in temperature. Don’t worry about thermal stress.
• Examples: 1, 3, 4
• Conceptual Questions: 1, 2, 5, 7
• Problems: 1, 3, 5, 7, 9, 15, 17
Chapter 14: Heat and Heat Transfer Methods
• Reading:
o 14.1: Notice that the zeroth law of thermodynamics is reviewed here (e.g. Figure 14.2). Also
notice the difference between heat and temperature.
o 14.2: Be able to calculate the amount of heat transferred (equation 14.2) given mass, specific
heat, and a change in temperature. Notice that different materials have different values for
specific heat (Table 14.1).
o 14.3: Be able to calculate the heat transfer required to change phase for a given mass
(equations 14.17 and 14.18). Relate this to the graph in Figure 14.8 which shows the energy
required to heat a sample of water from -20oC (ice) to 120oC (steam).
o 14.4: Understand the three methods of heat transfer.
o 14.5: Don’t worry about the math here; just focus on understanding how conduction works
(especially Figure 14.14).
o 14.6: Don’t worry about the math here; just focus on understanding how convection works
(especially Figures 14.17. 14.18, and 14.19).
o 14.7: Don’t worry about the math here. Notice how the amount of heat transferred by radiation
depends on an object’s colour (Figures 14.24, 14.25, and 14.26).
• Examples: 1, 2, 3, 4
• Conceptual Questions: 2, 4, 8, 9, 13, 17 (just the thermos question)
• Problems: 1, 3, 5, 9, 11, 14, 16, 24
Chapter 15: Thermodynamics
• Reading:
o 15.1: Be able to state the first law of thermodynamics and use its mathematical expression for
questions like example 15.1.
o 15.3: Be able to state the second law of thermodynamics. Consider both expressions (on
pages 518 and 519). Be able to do example 15.3 (a) and (b), but don’t worry about (c) – it’s a
review from secondary 4 physical science and you won’t be asked about it in this course. You
can ignore the paragraphs on cyclical processes.
• Examples: 1, 3 (a, b)
• Conceptual Questions: 1, 3, 5, 7
• Problems: 1, 3, 5, 21, 22, 24
Chapter 18: Electric Charge and Electric Field
• Reading:
o (optional) 18.1: Quick review of static electricity and charge concepts from secondary 4
physical science.
(optional) 18.2: Quick review of conductors and insulators and charging objects.
18.3: Be able to use Coulomb’s law to calculate the magnitude of the electromagnetic force
acting between two point charges.
Examples: 1
Conceptual Questions: 10, 11
Problems: 11, 13, 17, 18, 20, 25 (challenge question)
o
o
•
•
•
Chapter 20: Electric Current, Resistance, and Ohm’s Law
• Reading:
o 20.1: Define current as the rate of flow of charge. Be able to calculate current and the number
of electrons. You can ignore drift velocity.
o 20.2: Start with a quick review of Ohm’s law from secondary 4 physics. Be sure you can use
the V = I R equation to calculate voltage, current, and resistance for different elements in a
circuit.
o 20.4: Relate power in electric circuits back to the conservation of energy unit (chapter 7). Be
able to calculate the power and energy dissipated by a circuit element.
• Examples: 1, 2, 4, 8,
• Conceptual Questions: 1, 2, 6, 7, 8
• Problems: 1, 3, 5, 7, 9, 18, 19, 20, 22, 40, 44, 45, 50, 54, 55, 56, 64, 65
Chapter 21: Circuits, Bioelectricity, and DC Instruments
• Reading:
o 21.2: Focus on the “Things Great and Small: The Submicroscopic Origin of Battery Potential”
inset on page 743 and be able to explain how chemical energy is converted to electrical energy
in a battery. Don’t worry about the idea of internal resistance right now.
• Examples: None
• Conceptual Questions: None
• Problems: None
Solid Mechanics (also see section 5.3)
• Reading:
o Youtube: http://www.youtube.com/watch?v=t9eB0PKYAt8 (3:38)
Focus on how to interpret the stress-strain curve.
Also note the definitions (stress, strain, yield stress, ultimate tensile strength, fracture,
elastic region, plastic region) and that the modulus of elasticity is the slope of the
elastic region of the stress-strain curve.
o Wikipedia: Deformation (engineering):
http://en.wikipedia.org/wiki/Deformation_%28engineering%29
Focus on the differences between elastic deformation and plastic deformation.
Also focus on high-level understanding of the same concepts noted above.
o (optional) Wikipedia: Yield (engineering): http://en.wikipedia.org/wiki/Yield_stress
This gives more detail about the proportionality limit and the elastic vs plastic
regions discussed in the youtube video.
o (optional) Wikipedia: Elastic modulus: http://en.wikipedia.org/wiki/Elastic_modulus
This gives extra detail about the modulus of elasticity. We’re only considering
tensile forces so we’re only concerned with the Young’s modulus.
• Practice:
o In-class examples, Webwork questions
Additional Topics:
• Conservation of mass
o Reading:
Perform a google search to find evidence that mass is conserved during phase
changes.
• Why does a curveball curve?
o Reading:
The Physics Behind Baseball: http://ffden2.phys.uaf.edu/211_fall2002.web.dir/jon_drobnis/curveball.html
Why does a curveball curve?: http://www.pa.msu.edu/sciencet/ask_st/041493.html
Scott Redmond
Assignment 104 ww01 math review due 10/10/2012 at 11:58pm EDT
redmond
cm and the paper thikness is in um
1. (1 pt) Use your calculator to find the square root of 1.50
×1019 .
(Show the student hint after 1 attempts: )
HINT: You may need to use scientific notation on your calculator. See your calculator manual or a friend for instructions on
using scientific notation. (Square root is raising to 1/2 power.)
1
y
2. (1 pt) Find the numerical value of y given that
Data: g = 45.7; f = 16.1.
dollars
6. (1 pt) Perform the following conversions:
Convert 6.39 m to cm:
Convert 45.6 mm to m:
Convert 2.62 km to yards:
Convert 0.547 kg to ounces (oz):
Convert 21.3 min to seconds (s):
Convert 1120 s to hours (h):
Convert 45.8 m2 to cm2 :
Convert 0.259 cm2 to mm2 :
Convert 6680 mm3 to cm3 :
Convert 70 km/h to m/s:
Convert 4.8 m/s to ft/min:
Convert 54 degrees C to degrees F:
= 1g + 1f .
3. (1 pt) The quadratic equation
x2 − 2x − 1 = 0
has two real solutions. The smaller one is x =
Hint: Complete the square.
The following conversion factors might be helpful:
1 m = 1.0936 yd
1 yd = 3 ft
1 kg = 35.27 oz
.
4. (1 pt) Solve the system.
−5 x
x
− 4y =
2
+ 3 y = −4
7. (1 pt) Horses are to race over a certain English meadow
for a distance of 8.3 f urlongs . What is the race distance in these
units
a)
rods
x=
y=
5. (1 pt) You are handed a 9.0 cm stack of new one-hundred
dollar bills. Assume the thickness of a dollar bill is 1.7 times
thicker than your textbook paper (textbook paper = 63 µm). Estimate the number of dollars in your stack.
(Show the student hint after 1 attempts: )
HINT: Remember the unit conversion. The stack thickness is in
and
b)
chains
1 f urlong = 201.168m; 1rod = 5.0292m; 1chain = 20.117m
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Scott Redmond
Assignment 104 ww02 1dkin graphs due 10/11/2012 at 11:58pm EDT
1. (1 pt) A cyclist rides 14 km east and then turns around and
rides 3.5 km west.
Assuming that your axis is positive towards the east,
(a) What is her displacement?
km
(b) What distance does she ride?
km
2. (1 pt) Starting from time t = 0 s, a trained monkey drives
a toy car 1400 m west and then turns around and drives 700
m east. When she stops, the monkey immediately checks her
stopwatch and observes that 400 seconds have elapsed since she
started driving.
Assuming that your axis is positive towards the east,
What is her displacement?
m
What distance does she ride?
m
What is her average velocity?
m/s east
What is her average speed?
m/s
3. (1 pt) At t = 0s, a high-altitude unmanned aerial vehicle
(UAV) is flying east at a speed of 139m/s. At t = 74s, the UAV
is flying west at a speed of 142m/s.
Assuming that your axis is positive towards the east,
What is the UAV’s velocity at t = 0s?
m/s east
What is the UAV’s velocity at t = 74s?
m/s east
What is the UAV’s average acceleration from t = 0s to t = 74s?
m/s2 east
4. (1 pt)
The figures show nine graphs of position, velocity, and acceleration for objects in linear motion. (Click on a graph for a bigger
view.)
1
redmond
Indicate the graphs that meet the following conditions:
Velocity is constant
•
•
•
•
•
•
A. A
B. B
C. C
D. D
E. E
F. F
5. (1 pt)
The figures show nine graphs of position, velocity, and acceleration for objects in linear motion. (Click on a graph for a bigger
view.)
Indicate the graphs that meet the following conditions:
2
Velocity has reversed direction
• A. A
• B. B
• C. C
• D. D
• E. E
• F. F
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Scott Redmond
Assignment 104 ww03 1dkin eqns due 10/12/2012 at 11:58pm EDT
1. (1 pt) A set of keys slides along the floor, coming to rest
1.8 meters from where they started. If the initial speed of the
keys was 4.5 m/s then ....
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3. (1 pt) A car moving at 16.3 m/s on the highway accelerates at 0.9 m/s2 for 30.2 meters. How much time does the
acceleration take and how fast is the car going after this time?
Draw a sketch, and place your axes so that x = 0 where the
keys start, and x is positive in the direction the keys are going.
The car accelerates for
then has a speed of
Identify given and unknown information. If a value is unknown, enter 999.999.
?
x0 :
x:
?
v0 x :
?
vx :
?
ax :
?
t:
?
? and
?.
4. (1 pt) At a construction site a pipe wrench strikes the
ground with a speed of 35.28 m/s. Draw a sketch, and place
your axes with +y directed upwards from the ground (so y = 0
at the ground).
Identify given and unknown information. If a value is unknown,
enter 999.999.
y0 :
?
y:
?
v0y :
?
Now answer the following questions:
?.
The acceleration of the keys is
The time it takes the keys to stop is
?.
vy :
ay :
t:
?
?
?
Now answer the following questions:
The wrench was dropped from a height of
2. (1 pt) A skateboarder is moving at 2.1 m/s on a flat surface
when he encounters a ramp. On the ramp his acceleration is -2
m/s2 . How far up the ramp can he go? How long will it take
until he starts going back down?
The wrench was falling for
?
s.
Draw a sketch, and place your axes so that x = 0 where the
ramp meets the ground, and +x points up the ramp.
5. (1 pt) A stone is held out over a 34.5 meter high cliff and
dropped. How long is the stone in the air? How fast is the stone
moving just before it hits the ground?
Identify given and unknown information. If a value is unknown, enter 999.999.
x0 :
?
x:
?
v0 x :
?
vx :
?
ax :
?
t:
?
Draw a sketch, and place your axes so that +y points upward
from the ground (i.e. y = 0 at the ground).
Identify given and unknown information. If a value is unknown, enter 999.999.
y0 :
?
y:
?
v0y :
?
vy :
ay :
t:
Now answer the following questions:
The skateboarder travels
? up the ramp.
It takes him
? to reach his highest point on the ramp.
1
?
?
?
Now answer the following questions:
The stone is in the air for
?.
? just before it hits the
The stone has a velocity of
ground.
straight up. How high does it go?
The basball reaches of maximum height of
the ground.
6. (1 pt) A bat makes contact with a ball 1.1 meters above the
ground. The ball then travels with a speed of 29 m/s, moving
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? above
Scott Redmond
Assignment 104 ww04 newtons laws due 10/15/2012 at 11:58pm EDT
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1. (1 pt) A 2.21 kg mass is suspended from a string which is
pulled upward. The mass accelerates upwards with an acceleration of 3.70 m/s2 . What is the tension in the string?
?
2. (1 pt) A car that weighs 13700.0 N is initially moving at a
speed of 53.0 km/hr when the brakes are applied and the car is
brought to a stop in 2.0 s. Find the magnitude of the force that
stops the car, assuming it is constant.
?
What distance does the car move during this time?
?
4. (1 pt)
An airplane in straight and level flight has a basic free body
diagram as shown. If the airplane has a mass of 862 kg (including the pilot and passengers) and its engine produces a total
thrust of 17400 N,
The magnitude of the airplane’s weight is
N.
N.
The magnitude of the airplane’s lift is
The magnitude of the airplane’s drag is
N.
3. (1 pt) A hot-air balloon has a total mass of 860 kg, including the balloon, the basket, the pilot, and extra mass (ballast). It
accelerates downwards (towards the ground) at 2.3 m/s2 even
though an upwards lift force in acting on it.
a) Find the lift force acting on the balloon:
N
Remember that for webwork you should use 9.8m/s2 for the
acceleration due to gravity.
b) How much mass must be thrown overboard if the balloon
pilot decides to accelerate upwards at 1.8 m/s2 ?
Assume the upwards lift force remains the same.
kg
For more information on how airplanes fly, check out ¡a
href=”http://theengineerspulse.blogspot.ca/2011/03/why-dontairplanes-flap-their-wings.html”¿Why Don’t Airplanes Flap
Their Wings?¡/a¿
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Scott Redmond
Assignment 104 ww05 work energy momentum due 10/16/2012 at 11:58pm EDT
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lift the car 3.9 ft above the ground. What is the gravitational
potential energy of the car?
J
1. (1 pt) A 0.22 kg hamburger is pulled, at a constant speed,
by a string 1.65 m along a horizontal wooden cutting board that
is not frictionless. The string is pulled horizontally and has a
tension of 1 N.
Hint: Be careful with units!
4. (1 pt) A car on a hilly road has a mass of 1250 kg including passengers. Its speed is 8.7 m/s at point 1, a height of
h1 = 57 m above a level line as shown. The lowest part of the
road has a height of h2 = 18 m, and after the valley the road has
a height of h3 = 38.5 m above the reference. Ignore friction for
this problem.
Image: FreeDigitalPhotos.net
Determine the work done by each force. If that force doesn’t
act on the hamburger, enter 999.999 and ”No units”.
Determine the car’s kinetic energy and gravitational potential
energy at each point:
?
The work done by friction is
The work done by tension is
?
The work done by gravity is
?
The work done by the normal force is
?
Hint: consider whether the force acts in the same direction as,
opposite direction as, or perpendicular to the displacement.
If the hamburger is pulled at a constant speed of 0.61 m/s,
find the power dissipated by friction:
?
2. (1 pt) What is the kinetic energy of a 1990 kg car travelling at 17 m/s?
J
Point 1: KE =
Point 1: PE =
?
?
Point 2: KE =
Point 2: PE =
?
?
Point 3: KE =
Point 3: PE =
?
?
Now answer the following questions:
At point 2, the car has a speed of
At point 3, the car has a speed of
After the car stops, you’re feeling exceptionally strong and you
lift the car 1.29 m above the ground. What is the gravitational
potential energy of the car?
J
?
?
5. (1 pt) A red car (car 1) is stopped at a stop light when it is
rear-ended by a blue car (car 2).
3. (1 pt) What is the kinetic energy of a 1610 kg car travelling at 70 km/h?
J
After the car stops, you’re feeling exceptionally strong and you
1
Find the magnitude of the total momentum immediately after
the collision:
kg m/s
Find the magnitude of the total momentum immediately before
the collision:
kg m/s
Find the speed of car 2 (blue) immediately before it hit car 1
(red):
m/s
Image: FreeDigitalPhotos.net
Immediately after the collision, the cars’ bumpers get stuck
together and the two cars slide together with a speed of 7.6 m/s.
Given that the mass of car 1 is 1727 kg, and the mass of car 2 is
981 kg,
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Scott Redmond
Assignment 104 ww06 solid mechanics due 10/17/2012 at 11:58pm EDT
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force of 297 N.
Find the radius of the wire.
mm
HINT: Check your units!
1. (1 pt) A wire with a cross-sectional area of 0.45mm2 is
exposed to an axial tensile force of 19.6N.
Determine the stress exerted on the wire.
Pa
Hint: Check your units!
4. (1 pt) A segment of wire has a radius of 0.9 mm and an
initial length of 136.1 cm. When a tensile force of 240 N is applied axially to the wire, its length is 145.8 cm. After the force
is removed, the wire’s length is 136.1 cm.
What is the Young’s Modulus for the material the wire is made
of?
Pa
2. (1 pt) Calculate the strain on a USB cable (original length
143.7 cm) that is stretched to a length of 157.2 cm.
3. (1 pt) A given steel wire has a yield stress of 292 MPa and
an ultimate strength of MPa. By subjecting the wire to different
forces, you observe that it starts to permanently deform with a
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Scott Redmond
Assignment 104 ww07 fluid statics due 11/01/2012 at 12:58am EDT
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the wine. He is amazed when he pounds the cork into place and
the bottom of the jug (with a 16.7 cm diameter) breaks away.
Calculate the force exerted against the bottom if he pounded the
cork with a 170 N force.
N
1. (1 pt) Find the depth below the surface of the ocean at
which the gauge pressure due to the weight of the water equals
1.4 atm.
m
The density of seawater is 1030 kg/m3 .
5. (1 pt) (a) Calculate the buoyant force on 19500 metric
tons (19500000 kg) of solid steel (with density 7800 kg/m3 )
completely submerged in seawater.
N
Compare the buoyant force you get with the weight of the steel.
Do you think the steel would float or sink? You don’t actually
have to answer this question here; just think about it.
2. (1 pt) Water towers store water above the level of consumers for times of heavy use, eliminating the need for highspeed pumps. If you need a minimum gauge pressure of 27 psi
for a wall-mounted toilet to flush properly, how high above the
toilet must the water level in the tower be?
m
3. (1 pt) A submarine is stranded on the bottom of the ocean
with its hatch 52.1 m below the surface. Calculate the magnitude of force needed to open the hatch from the inside, given it
is circular and 0.62 m in diameter. Air pressure inside the submarine is 1.00 atm.
N
Hint: Does seawater have a different density than fresh water?
(b) What is the maximum buoyant force that water could exert on this same steel if it were shaped into a boat that could
displace 155000 m3 of seawater?
N
Again compare the buoyant force you get with the weight of the
steel. Do you think the steel boat would float or sink? You don’t
actually have to answer this question here; just think about it.
4. (1 pt) A crass host pours the remnants of several bottles
of wine into a jug after a party. He then inserts a cork with a
2.1 cm diameter into the bottle, placing it in direct contact with
The density of seawater is 1030 kg/m3 .
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Assignment 104 ww08 fluids part2 due 11/12/2012 at 11:58pm EST
1. (1 pt) A fire hose with a 8.7 cm diameter carries 112 L of
water per second.
m3 /s
a) Find the flow rate in cubic meters per second:
b) Find the fluid speed:
m/s
Hint: Be careful with the units!
2. (1 pt) Water emerges straight down from a faucet with a
3.05 cm diameter at a speed of 0.55 m/s.
a) Find the flow rate in cubic meters per second:
m3 /s
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Conceptual question (no marks): How would your answer
change if you used seawater instead of fresh water?
4. (1 pt) A sump pump (used to drain water from the basement of houses built below the water table) is draining a flooded
basement at the rate of 0.86 L/s, with an output pressure of 531
kPa.
a) The water travels through a 3.41 cm diameter hose from the
pump up to a point 2.72 m above the pump. What is the pressure
at this point (2.72 m above the pump)?
Pa
As the water falls (from the same pipe), it speeds up and the
cross-sectional area of the stream decreases.
b) Find the fluid speed at a point 0.17 m below the faucet:
m/s
c) Find the area of the stream at that same point 0.17 m below
the faucet:
m2
b) The hose goes over the foundation wall, which is an additional 0.89 m above the sump pump, and then widens to a
diameter of 4.32 cm. What is the pressure now (a total of 3.61
m above the pump, inside the wider part of the hose)?
Pa
Hint: Part (b) has to do with the motion of a body in free
fall (and in webwork, g = 9.8m/s2 ).
Hint 1: Assume the density of the water is ρ = 998kg/m3 .
Hint 2: If you’re having trouble, draw a diagram showing the
different heights, and identify the pressure (if given), area, and
speed at each height.
3. (1 pt) Use Bernoulli’s equation to find the maximum
height to which water could be squirted from a hose if it emerges
from the hose with a speed of 14.6 m/s.
m
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Scott Redmond
Assignment 104 ww09 thermo due 11/26/2012 at 11:58pm EST
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◦C−1
1. (1 pt) Convert the following Fahrenheit temperatures to
degrees Celsius:
degrees Celsius
258 degrees Fahrenheit =
18 degrees Fahrenheit =
degrees Celsius
Aluminum has a coefficient of linear expansion of α =
25 × 10−6 ◦C−1 .
What is the change in length for an aluminum bar that is originally 3.12 m long over a temperature range of -12.6 to 15.2
degrees Celsius?
m
Convert the following Celsius temperatures to degrees Fahrenheit:
degrees Fahrenheit
130 degrees Celsius =
-1 degrees Celsius =
degrees Fahrenheit
4. (1 pt) At −29.4 ◦C, a steel beam on a bridge is 19.126m
long. If its coefficient of linear expansion is α = 12 × 10−6
◦C−1 , at what temperature will the beam have a length of 19.134
m?
◦C
Convert the following Kelvin temperatures to degrees Celsius:
35 Kelvin =
degrees Celsius
290 Kelvin =
degrees Celsius
5. (1 pt) How many calories are in 226.85 kcal?
cal
Convert the following Celsius temperatures to Kelvin:
Kelvin
23 Celsius =
-140 Celsius =
Kelvin
How many joules are in 226.85 kcal?
J
Complete the following temperature conversions:
72 degrees Fahrenheit =
Kelvin
degrees Fahrenheit
249 Kelvin =
How many joules are in 25490 cal?
J
6. (1 pt) While testing a rock sample from a nearby asteroid,
you notice that if you add 2676J of heat to the rock it changes
temperature from 16.1 ◦C to 18.3 ◦C.
Find the heat capacity of the rock:
J/K.
If the rock has a mass of 1.125kg, find the specific heat of the
J/(kg · K).
rock:
2. (1 pt) Complete the following temperature conversions:
-288 degrees Fahrenheit =
degrees Rankine
degrees Rankine
53 degrees Celsius
514 degrees Rankine =
Kelvin
179 degrees Rankine =
degrees Celsius
53 Kelvin =
degrees Fahrenheit
85 Kelvin =
degrees Rankine
7. (1 pt) An aluminum ball of mass 0.05kg has an initial
temperature of 276 ◦C. It is immersed in 0.594kg of water in a
perfectly insulating styrofoam cup. The initial temperature of
the water is 12 ◦C.
3. (1 pt) Steel has a coefficient of linear expansion of
α = 12 × 10−6 ◦C−1 .
What is the change in length for a steel beam that is originally
1511 m long over a temperature range of 44.5 degrees Celsius?
m
The specific heat of aluminum is 900J/(kg · K).
The specific heat of water is 4190J/(kg · K).
An unknown metal is observed to change its length from 74.8 m
at -17.8 degrees Celsius to 74.98 m at 15.7 degrees Celsius. Find
the coefficient of linear expansion for this mysterious metal.
Find the final temperature when the water and aluminum reach
◦C.
thermal equilibrium:
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Scott Redmond
Assignment 104 ww10 thermo part2 due 12/03/2012 at 11:58pm EST
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1. (1 pt) An aluminum ball of mass 0.158kg has an initial
temperature of 256 ◦C. It is immersed in 0.587kg of water in a
perfectly insulating styrofoam cup. The initial temperature of
the water is 14.9 ◦C.
How much heat is absorbed by 0.847kg of ice at 0◦C as it
transitions to to liquid water at 0◦C?
J
The specific heat of aluminum is 900J/(kg · K).
The specific heat of water is 4190J/(kg · K).
How much heat is absorbed by 0.079kg of liquid water at 100◦C
as it transitions to water vapour at 100◦C?
J
Find the final temperature when the water and aluminum reach
◦C.
thermal equilibrium:
How much heat is absorbed by 0.367kg of liquid water at 0◦C
as it transitions to ice at 0◦C?
J
2. (1 pt) A 0.427kg sample of mercury is dropped into
0.511kg of water in a perfectly insulating styrofoam cup. The
water’s initial temperature is 92.55 ◦C and its final temperature,
after reaching thermal equilibrium, is 91.68 ◦C.
How much heat is absorbed by 0.671kg of water vapour at
100◦C as it transitions to liquid water at 100◦C?
J
The specific heat of liquid mercury is 140J/(kg · K).
The specific heat of water is 4190J/(kg · K).
Find the initial temperature of the mercury:
4. (1 pt) A 0.297kg chunk of ice with an initial temperature
of −19.1◦C is added to 0.851kg of liquid water at 56.5◦C.
Assuming they’re in a perfectly insulating container, what is the
final temperature of the system?
◦C.
◦C.
3. (1 pt) This problem asks you to find the amount of heat
absorbed by a sample of water is it undergoes different phase
transitions. Remember that you need to choose the sign of Q
according to whether heat is transferred to the sample (positive)
or away from the sample (negative).
The specific heat of water ice is 2090J/(kg · K).
The specific heat of water is 4190J/(kg · K).
The latent heat of fusion for water is 333000J/kg.
The latent heat of vaporization for water is 2260000J/kg.
The latent heat of fusion for water is L f = 33300J/kg.
The latent heat of vaporization for water is Lv = 226000J/kg.
Hint: you’ll need to consider all but one of the constants given.
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Scott Redmond
Assignment 104 ww11 circuits due 12/05/2012 at 11:58pm EST
1. (1 pt)
For the circuit shown below, emf = 15.5 volts, R1 = 3 Ω, R2 =
5 Ω, and R3 = 4 Ω
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2. (1 pt)
Find:
the equivalent resistance for the arrangement of resistors (imagΩ
ine removing the emf):
the current in R1:
A
the current in R2:
A
A
the current in R3:
the potential difference across R2:
volts
the power dissipated by R1:
W
The equivalent resistance of the combination shown in the
figure above is 15 Ω. What is R?
R=
Ω
A fourth resistor, R4 = 2 Ω, is added in parallel with R3 as
shown below.
3. (1 pt)
For the updated circuit (including R4), find:
the equivalent resistance for the arrangement of resistors (imagine removing the emf):
Ω
the current in R1:
A
A
the current in R2:
the current in R3:
A
the current in R4:
A
the potential difference across R2:
volts
the power dissipated by R1:
W
All the capacitors in the figure shown above are identical,
with C = 2.5 µF. What is the equivalent capacitance?
µF
1
R1 = R2 = R3 = 721000 Ω, and
C4 = 4.3 µF.
4. (1 pt)
With C4 completely uncharged, switch S is suddenly closed
(at t = 0).
At t = 0, find:
the current in R1:
A.
the current in R2:
A.
the current in R3:
A.
the current through C4:
A.
volts.
the potential difference across R2:
After C4 has completely charged, find:
A.
the current in R1:
the current in R2:
A.
the current in R3:
A.
the current through C4:
A.
the potential difference across R2:
For the circuit shown,
emf = 1430 volts,
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volts.
Scott Redmond
Assignment 104 ww12 energy conversion due 12/10/2012 at 11:58pm EST
1. (1 pt) What is the efficiency of a person who does
2.45 × 105 J of useful work while metabolizing 326 Calories
of food energy?
percent
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Your microwave oven also operates with a current of 10 A
and at the same voltage, but is only 66 percent efficient. How
long would it take to heat the same amount of water in the microwave?
seconds
How many Calories would another person metabolize in doing 2.45 × 105 J of useful work with an efficiency of 22 percent?
Calories
Hint: The specific heat of water is 4190J/(kg · K).
3. (1 pt) You decide to drive your car up a long hill. After
enjoying the view for a few minutes, you’re inspired by memories of your physics class and decide to calculate the efficiency
of your car. If your car has a mass of 1663kg, including yourself
and all passengers (plus baggage), the hill is 1081m above your
starting point, and the gasoline burned originally had a chemical
potential energy of 734 × 106 J, find the efficiency of your car.
Assume that your initial and final speeds are both zero.
percent
Hint: 1 Calorie = 4186 J
2. (1 pt) While preparing a cup of tea, you pour 515 g of
water into the kettle and notice that the water has an initial temperature of 13.5 degrees Celsius. If the kettle operates with a
current of 10 A and a voltage of 120 V, and is 90 percent efficient, how long will it take to heat the water to 100 degrees
Celcius?
seconds
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