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5m 1m page 10 c 21 water ows through a pipe which

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Unformatted text preview: e the level of the water. 3 (a) 3 (b) Find the density of the wood. A) 200 kg/m3 B) 400 kg/m3 C) 500 kg/m3 D) 600 kg/m3 E) 800 kg/m3 0.5m 0.2m 0.3m Suppose I use the same wood to make a block which is twice as wide. Which of the following pictures shows the way this new block will float? (A) same as above (B) 0.5m 1m Page 10 (C) 21. Water flows through a pipe which widens from a crosssectional area of AL = 0.1 m3 to a cross-sectional area of AR = 0.4 m3 . The water enters the pipe moving at vL = 4 m/s. The pressure of the water as it leaves the pipe is PR = 105 Pa. 3 (a) AR=0.4m3 AL=0.1m3 vL = 4 m/s PR = 105 Pa The speed of the water vR as it leaves the pipe is A) 1 m/s B) 2 m/s C) 4 m/s D) 8 m/s E) 16 m/s 3 (b) Find the pressure PL of the water as it enters the pipe, ignoring the effects of viscosity. 3 22. Answer one of these two questions, or both for extra credit. (a) Planet X has twice the radius of Earth and twice the mass of Earth. What is the acceleration due to gravity g on Planet X? A) 2.5 m/s2 B) 4.9 m/s2 C) 9.8 m/s2 D) 19.6 m/s2 E) 39.2 m/s2 (b) A satellite orbits the Earth at an altitude of r above the Earth’s center. Write an expression for the satellite’s velocity v , in terms of the Earth’s mass M . Page 11 3 23. Extra credit: A 5 kg wheel with a radius of 2 m and moment 1 of inertia I = 2 M R2 is mounted on an axle and can spin without friction. It starts at rest, and then a 30 N force is applied to the top of the wheel. What is the angular velocity ω of the disk after the disk has made one complete revolution? 30N 5kg 2m Page 12...
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