2048_Spring10_Exam3

1 882 m 2 784 m 3 1176 m 4 392 m 5 1764 m 10 three

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(1) 88.2 m (2) 78.4 m (3) 117.6 m (4) 39.2 m (5) 176.4 m 10. Three point particles with equal mass, m , form an equilateral triangle with sides of length L as shown by (A) in the figure. If one of the masses is moved to a position midway between the other two masses as shown in (B), what is the change in the gravitational potential energy of the three-particle system, U B - U A ? (1) - 2 Gm 2 /L (2) +3 Gm 2 /L (3) - 5 Gm 2 /L (4) - Gm 2 /L (5) +2 Gm 2 /L 11. Two identical blocks of ice float in water as shown in the figure. Which of the following statements is true? (1) The two blocks displace equal volumes of water since they have the same weight. (2) Block B displaces a greater volume of water since the pressure acts on a smaller bottom area. (3) Block A displaces a greater volume of water since the pressure is less on its bottom. (4) Block B displaces a greater volume of water since its submerged end is lower in the water. (5) Block A displaces a greater volume of water since its submerged end has a greater area. 12. An object hangs from a spring balance. When submerged in water the object weighs one-half what it weighs in air. If, when submerged in an unknown liquid with density ρ X , the object weighs three-fourths what it weighs in air, what is the density of the unknown liquid? (1) 1 2 ρ water (2) 2 ρ water (3) 3 4 ρ water (4) 1 3 ρ water (5) 2 3 ρ water 13. Suppose that you release a small ball from rest at a depth of 39.2 m below the surface in a pool of water (with density ρ water ) near the surface of the Earth. If the density of the ball is 1/3 the density of water (i.e., ρ ball = 1 / 3 ρ water ), how long does it take the ball to reach the surface? (1) 2 s (2) 1 s (3) 4 s (4) 3 s (5) 1.41 s 14. The figure shows a stream of water flowing through a small hole at depth h in a large tank holding water to height H . Assume that the area of the hole is much smaller than the area of the top of the tank. If the stream of water strikes the floor a horizontal distance x = H from the bottom of the tank, what is h ?

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