Sample HW08 - PHYS 21800 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. What mass can it support in water before sinking? Holt SF 09Rev 18 001 10.0 points A piston A has a diameter of 0.63 cm, as shown. A second piston B has a diameter of 2.2 cm. Serway CP 09 33 005 10.0 points An empty rubber balloon has a mass of 0.0127 kg . The balloon is filled with helium at a density of 0.184 kg/m3 . At this density the balloon has a radius of 0.54 m . If the filled balloon is fastened to a vertical line, what is the tension in the line? The acceleration of gravity is 9.8 m/s2 . 561.2 N F B A In the absence of friction, determine the ! necessary to support magnitude of the force F the 561.2 N weight. Correct answer: 46.0207 N. Deep in the Ocean 002 (part 1 of 2) 10.0 points Engineers have developed a bathyscaph that can reach ocean depths of 10.9 mi. If the density of seawater is about 1030 kg/m3 , what is the absolute pressure at that depth? The acceleration of gravity is 9.8 m/s2 . 1 mile = 1609.0 meters 003 (part 2 of 2) 10.0 points If the inside of the vessel is maintained at atmospheric pressure 1.013 × 105 Pa, what is the net force on a porthole of diameter 18.9 cm? Holt SF 09A 02 004 10.0 points A 3.4 kg rectangular air mattress is 2.66 m long, 0.868 m wide, and 0.178 m thick. Correct answer: 407.581 kg. Correct answer: 7.02464 N. Density of air is 1.29 kg/m^3 Holt SF 09Rev 62 006 10.0 points A cowboy at a ranch fills a water trough that is 1.4 m long, 70 cm wide, and 47 cm deep. He uses a hose having a diameter of 2.3 cm, and the water emerges from the hose at 1.2 m/s. How long does it take the cowboy to fill the trough? Serway CP 09 45 007 10.0 points A jet of water squirts out horizontally from a hole on the side of the tank as shown below. Sample HW08 - PHYS 21800 2 Correct answer: 14.3312 m/s. Take the speed of the water level here to be zero. h 009 (part 2 of 2) 10.0 points Applying Bernoulli’s principle, what is the pressure P1 at the entrance end of the pipe? Correct answer: 1.57433 × 105 Pa. 1.54 m 0.538 m If the hole has a diameter of 3.81 mm , what is the height of the water above the hole in the tank? Correct answer: 4.69877 cm. Constricted Pipe 03 008 (part 1 of 2) 10.0 points A liquid of density 1265 kg/m3 flows with speed 2.12 m/s into a pipe of diameter 0.13 m . The diameter of the pipe decreases to 0.05 m at its exit end. The exit end of the pipe is 8.99 m lower than the entrance of the pipe, and the pressure at the exit of the pipe is 1.4 atm . P1 2.12 m/s 0.13 m P2 1.4 atm 8.99 m v2 0.05 m What is the velocity v2 of the liquid flowing out of the exit end of the pipe? Assume the viscosity of the fluid is negligible and the fluid is incompressible. The acceleration of gravity is 9.8 m/s2 and Patm = 1.013 × 105 Pa.