PHYS 211 – MT3 Fall 2012 Sample 3 1. The following true-false questions are all based on the following set-up and each is worth 2 points (so these 5 questions together are worth 2 of the multiple choice questions, 10 points) A particle moving in one dimension is subject to the potential energy curve shown in the plot. A. T or F: At point xa, the force on the particle is in the negative x direction. B. T or F: If the particle has total energy of 3 Joules at point xc and its velocity is in the positive x direction, it will eventually reach point xa. C. T or F: If the particle has kinetic energy of 3 Joules at point xc it can reach point xb. D. T or F: If the total energy of the particle at point xb is 3 Joules it can reach point xc. E. T or F: If the particle is released from rest at xc, it will travel in the positive x direction. 2. A boy walks on level ground at a constant speed of 2.0 m/s while holding a 40 N box horizontally at arm's length. His arm is 1.5m above the ground. What is the work done by the force of the boy on the box while he walks with it? A. B. C. D. E. 0J 27 J 40 J 60 J 90 J Page 1 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 3. You and your friend are both standing on a horizontal frictionless surface. To get your friend's attention, you throw a ball due west at your friend. The ball bounces elastically off your friend's back. Which one of the following statements is true about this situation? A. Your friend will remain stationary because the ball bounces elastically and does not impart its momentum to her. B. Your friend will remain stationary because the kinetic energy of the ball is conserved in an elastic collision. C. Your friend will remain stationary due to conservation of both linear momentum and kinetic energy. D. You will remain stationary after you throw the ball due to conservation of both linear momentum and kinetic energy. E. You will move east after you throw the ball due to conservation of linear momentum. F. More than one of the above 4. A large car and a hard-headed bird collide, with the bird bouncing off the windshield. Which of the following statements is true about the vector impulse on the bird ( J bird ) and the vector impulse on the car ( J car ). A. J bird  J car B. J bird  J car C. J bird  J car D. J bird  J car E. None of the above 5. Two bodies, A and B, have equal kinetic energies. The mass of A is nine times that of B. The ratio of the momentum of A to that of B is: A. B. C. D. E. 1:3 1:1 1:9 9:1 3:1 Page 2 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 6. Each of the figures shown below indicates the direction and magnitude of a force F acting on a system which is moving with a velocity v. Which figure represents the most negative (or least positive if none are negative) power being done by the force F at the instant pictured ? 7. A student standing on a third floor balcony throws a water balloon onto the ground below. The work done on the balloon by gravity (during the fall) and the ground (as the balloon smashes into it), respectively, are: A. B. C. D. E. Negative, Negative Positive, Negative Negative, Positive Positive, Positive None of the above 8. A 2500 kg car traveling down I-80 at 100 km/hr smacks into a 0.001 kg fly traveling in the opposite direction at 1 km/hr. Which of the following statements is true? A. B. C. D. The car exerts a much bigger force on the fly than does the fly on the car. The fly exerts no force on the car whatsoever. If the fly sticks to the car, it exerts a greater force on it than if it bounces off it. The magnitude of the change in momentum of the fly is the same as the magnitude of the change in momentum of the car, and points in the same direction. E. The magnitude of the change in momentum of the fly is the same as the magnitude of the change in momentum of the car, and points in the opposite direction. Page 3 of 10 PHYS 211 – MT3 Fall 2012 Sample 3     9. A particle of mass 5 kg is acted on by two forces, F1  3ˆi  4ˆj N and F2  2ˆi  ˆj N     and is moved from ri  ˆi  ˆj m to rf  5ˆi  4ˆj m . What is the net work done on the particle? A. B. C. D. E. -21 J -11 J -9 J -1 J 7J 10. A paratrooper whose chute fails to open land in snow; he is hurt slightly. Had he landed on bare ground, the stopping time would have been 10 times shorter. Does the presence of the snow increase, decrease, or leave unchanged the values of the impulse stopping the paratrooper and the force stopping the paratrooper? A. B. C. D. E. impulse unchanged, force unchanged impulse unchanged, increased force impulse unchanged, decreased force decreased impulse, decreased force decreased impulse, force unchanged 11. A firecracker at rest on the ground explodes into just two pieces (A and B): Piece A: mass M Piece B: mass 3M What can we say about the magnitude of momentum (p) and the kinetic energy (K) of these two pieces? A. Both pieces have the same magnitude of momentum, but A has 3 times the kinetic energy of B. B. Both pieces have the same magnitude of momentum, but B has 3 times the kinetic energy of A. C. A has three times the magnitude of momentum and three times the kinetic energy of B. D. B has three times the magnitude of momentum and three times the kinetic energy of A. E. Both pieces have the same kinetic energy, but B has three times the magnitude of momentum of A. F. None of the above Page 4 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 12. The following 5 “matching” questions are all based on the following set-up and are each worth two points (so these 5 questions together are worth 2 of the other multiple choice questions, 10 points) A stock person at the local grocery store has a job consisting of the following five segments. During each segment determine whether she is doing: A. Positive work B. Negative work C. No work D. Either positive or negative work (not enough info to determine) 1. 2. 3. 4. 5. picking up boxes of tomatoes from the stockroom floor accelerating to a comfortable speed carrying the boxes to the tomato display at constant speed decelerating to a stop lowering the boxes slowly to the floor. 13. A mass M moving in the x-direction with a velocity of 10 m/s ˆi collides with a mass m (with half the mass of M) that has a velocity -5 m/s ˆi . Immediately afterwards, M is observed to have a velocity of 0 m/s ˆi and m is observed to have a velocity of 15 m/s ˆi . What can we say about this collision? A. It is an elastic collision. B. It is an inelastic (but not completely inelastic) collision. C. It is a completely inelastic collision. D. It is possible only if some other energy was released in the collision. E. It is not possible. Page 5 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 14. A single force, shown below on the graph, acts on a 2 kg object. If the object's speed at x = 0 m is 2 m/s, what is its speed at 8 m? A. 2 m/s   B. 2 1  5 m/s C. D. E. F. 2 6 m/s 20 m/s 24 m/s None of the above Page 6 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 15. A large care package, attached securely to a bungee cord, is released from rest from a stationary helicopter. The helicopter is 30 meters above the ground. The bungee cord has an unstretched length of 20 meters and a spring constant of 100 Newtons per meter. The mass of the package is 50 kg. Unfortunately the helicopter is too low and the package hits the ground. With approximately what velocity does it hit the ground? As always, use g = 10 m/s2 and ignore air resistance A. 0 m/s B. 2 10 m/s C. 20 m/s D. 20 2 m/s E. 20 6 m/s F. None of the above Page 7 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 16. A massless spring connects a ball of mass M to a vertical post on a horizontal frictionless table. The spring has a spring constant k and an unstretched length of L o. If the post is rotated at a constant rate, the ball travels at constant speed in a horizontal circle on the table (so gravity plays no part in this problem). The spring stretches when the ball is moving in such a circle. At what speed, v, should the ball be moving so that the spring is stretched to twice its unstretched length (i.e. so that it has a length of 2Lo)? A. L0 4k m B. L0 2k m C. L0 k m D. L0 k 2m E. L0 k 4m Page 8 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 17. Two rods are connected to make an "L" shape. Each rod is uniform, and they have the same length l, but one is twice as massive as the other. If the rods are placed as shown below, with the more massive rod on the y-axis, what is the coordinate of the center of mass of the "L"? A. B. C. D. E. (l/2, l/2) (l/6, l/3) (l/6, l/2) (l/2, l/3) (l, l) Page 9 of 10 PHYS 211 – MT3 Fall 2012 Sample 3 18. A 1 kg box is given a quick push (from rest) up a ramp angled at 30° to the horizontal, using a spring launcher of spring constant k = 4000 N/m, initially compressed by 0.1 m. The box slides up the ramp with a coefficient of kinetic friction of 1 3 until it comes to a halt. What total distance D along the slide does the box travel before it stops? k  1 3 A. 2 m B. 4 3m C. 4 m D. 4 3 m E. 4 3 F. 4 5 m 1  3  m G. 4 3  3 1 H. 4 3  3 1  m  m Page 10 of 10