Physics 213 Fall 2003 Midterm Form D 1. In the hydraulic press shown, the small piston "a" has diameter 3.8 cm and the larger piston "A" has diameter 53.0 cm. What force magnitude f on the small piston will balance a 2.0 x 10 4 N force F on the larger piston? A. 0.1 N B. 2.0 x 10 4 N C. 103 N D. 2.8 x 10 5 N E. 3.9 x 10 6 N 2. A 1024 Hz tuning fork is used to obtain a series of resonance levels in a gas column of variable length, with one end closed and the other open. The length of the column changes by 20 cm from resonance to resonance. From this data, the speed of sound in this gas is: A. 20 m/s B. 410 m/s C. 102 m/s D. 205 m/s E. 51 m/s 3. What fraction of the volume of an ice cube floats above the surface in a glass of water? Take the density of ice to be 917 kg/m 3 and water to be 998 kg/m 3 . A. 3% B. 90% C. 0.1% D. 10% E. 8% Page 1
Physics 213 Fall 2003 Midterm Form D 4. An irregular 3kg lump of material is submerged in a fluid. The fluid that would have been in the space now occupied by the lump has a mass of 2 kg. When the lump is released, it A. moves upward with an acceleration g/3. B. moves downward with an acceleration g. C. remains in place. D. moves upward with an acceleration g. E. moves downward with an acceleration g/3. 5. Fresh water of density ρ = 1000 kg/m 3 is behind a reservoir dam that is 15 m deep. A horizontal pipe 4.0 cm in diameter passes through the dam 6.0 m below the water surface, as shown in the figure. After a plug securing the pipe opening is removed, how much water flows out in 3 hours? A. 588 m 3 B. 233 m 3 C. 147 m 3 D. 39 m 3 E. 49 m 3 6. What is the approximate minimum area of the top surface of a rectangular slab of ice 0.3 m thick floating on fresh water that will hold an automobile of mass 1100 kg just above the surface of the water? Assume the centers of mass of the car and the ice are vertically aligned. Take the densities of water and ice to be 998 kg/m
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