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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
0.3m 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)
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
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
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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