Fluids

Version 001 – 16 Fluids – gates – (9.81) 2 T 2 Mg B What is the force exerted by the wa- ter on the top of the block? (Take P 0 = 1 . 013 × 10 5 Pa . ) The acceleration of gravity is 9 . 8 m / s 2 . Correct answer: 1047 . 44 N. 007 (part 2 of 4) 10.0 points What is the force exerted by the water on the bottom of the block? Correct answer: 1058 . 53 N. 008 (part 3 of 4) 10.0 points What is the reading of the spring scale? Correct answer: 98 . 6674 N. 009 (part 4 of 4) 10.0 points What is the buoyant force? Correct answer: 11 . 0926 N. Serway CP 09 40 010 10.0 points A cowboy at a dude ranch fills a horse trough that is 1 . 3 m long, 61 cm wide, and 48 cm deep. He uses a 2 . 7 cm diameter hose from which water emerges at 2 . 1 m / s . How long does it take him to fill the trough? Correct answer: 5 . 27626 min. Constricted Pipe 03 011 (part 1 of 2) 10.0 points A liquid of density 1131 kg / m 3 flows with speed 1 . 69 m / s into a pipe of diameter 0 . 25 m . The diameter of the pipe decreases to 0 . 05 m at its exit end. The exit end of the pipe is 3 . 48 m lower than the entrance of the pipe, and the pressure at the exit of the pipe is 1 atm . P 1 1 . 69 m / s 0 . 25 m P 2 v 2 0 . 05 m 1 atm 3 . 48 m What is the velocity v 2 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 / s 2 and P atm = 1 . 013 × 10 5 Pa. Correct answer: 42 . 25 m / s. 012 (part 2 of 2) 10.0 points Applying Bernoulli’s principle, what is the pressure P 1 at the entrance end of the pipe? Correct answer: 1 . 07057 × 10 6 Pa. Punctured Tank v1 013 10.0 points A large storage tank is filled to a height 81 cm. The tank is punctured with a small hole at a height 30 cm from the bottom of the tank. h h 0 How far from the tank will the stream land? Assume that the tank is very large so that the velocity of the liquid at the top of the tank is zero. Correct answer: 78 . 2304 cm.