A) Pa B) Pa C) Pa D) Pa E) Pa
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1 1. A gas sample is confined within a chamber that has a movable piston. A small load is placed on the piston; and the system is allowed to reach equilibrium. If the total weight of the piston and load is 70.0 N and the piston has an area of m 2, what is the pressure exerted on the piston by the gas? Note: Atmospheric pressure is Pa. A) Pa B) Pa C) Pa D) Pa E) Pa 2. A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter. If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons. A) 250 kg B) 700 kg C) 1400 kg D) 2800 kg E) 5600 kg 3. A balloon inflated with helium gas (density = 0.2 kg/m 3 ) has a volume of m 3. If the density of air is 1.3 kg/m 3, what is the buoyant force exerted on the balloon? A) 0.01 N B) 0.08 N C) 0.8 N D) 1.3 N E) 7.8 N Page 1
2 4. A small sculpture made of brass ( brass = 8470 kg/m 3 ) is believed to have a secret central cavity. The weight of the sculpture in air is N. When it is submerged in water, the weight is N. What is the volume of the secret cavity? A) m 3 B) m 3 C) m 3 D) m 3 E) m 3 Use the following to answer question 5: A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m 3. The density of air is 1.3 kg/m What is the magnitude of the initial acceleration of the balloon? A) zero m/s 2 B) 9.8 m/s 2 C) 10.9 m/s 2 D) 22.1 m/s 2 E) 43.6 m/s 2 6. Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s. It then enters a smaller pipe of diameter 3.0 cm. What is the speed of the water as it flows through the smaller pipe? A) 1.4 m/s B) 2.8 m/s C) 27 m/s D) 54 m/s E) 71 m/s 7. Elaine went to her outside faucet to fill a m 3 bucket with water to wash her car. Water exits with a speed of 0.61 m/s. The radius of the faucet is m. How long does it take to fill the bucket completely? A) 9.0 s B) 17 s C) 160 s D) 280 s E) 490 s Page 2
3 8. The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m 3. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, P B P A, between points B and A? A) Pa B) Pa C) Pa D) Pa E) Pa 9. An aluminum plate has a length of 0.12 m and a width of 0.10 m at 25 C. The plate is uniformly heated to 225 C. If the linear expansion coefficient for aluminum is /C, what is the change in the area of the plate as a result of the increase in temperature? A) m 2 B) m 2 C) m 2 D) m 2 E) m Two spheres, labeled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 645 J/(kg C ) and that of sphere B is 240 J/(kg C ). The spheres are initially at 21 C; and the same quantity of heat is added to each sphere. If the final temperature of sphere A is 74 C, what is the approximate final temperature of sphere B? A) 160 C B) 140 C C) 110 C D) 53 C E) 39 C Page 3
4 11. A gold sphere has a radius of cm at 25.0 C. If 7650 J of heat is added to the sphere, what will the final volume of the sphere be? Gold has a density of kg/m 3 at 25.0 C, a specific heat capacity of 129 J/(kg C ), and a coefficient of volume expansion of /C. A) m 3 B) m 3 C) m 3 D) m 3 E) m A kg ice cube at 0 C is placed in an insulated box that contains kg of steam at 100 C. What is the equilibrium temperature reached by this closed system? Note: Assume that all of the ice melts. A) 22.7 C B) 33.6 C C) 44.9 C D) 50.7 C E) 66.4 C 13. On a warm summer day, the relative humidity is 30 % when the temperature is 32 C. Which one of the following statements is true if the temperature suddenly decreases to 26 C and all other conditions remain the same? A) The relative humidity will decrease. B) The relative humidity will increase. C) The dew point will change. D) The partial pressure of water vapor will decrease. E) The vaporization curve of water will change. Page 4
5 14. A cabin has a m thick wooden floor [k = W/(m C )] with an area of 13.4 m 2. A roaring fire keeps the interior of the cabin at a comfortable 18.0 C while the air temperature in the crawl space below the cabin is 16.4 C. What is the rate of heat conduction through the wooden floor? A) 19 J/s B) 138 J/s C) 264 J/s D) 408 J/s E) 459 J/s 15. Assume that the sun is a sphere of radius m and that its surface temperature is K. If the sun radiates at a rate of W and is a perfect emitter, at what rate is energy emitted per square meter at the sun's surface? A) W/m 2 B) W/m 2 C) W/m 2 D) W/m 2 E) W/m A person steps out of the shower and dries off. The person's skin with an emissivity of 0.70 has a total area of 1.2 m 2 and a temperature of 33 C. What is the net rate at which energy is lost to the room through radiation by the naked person if the room temperature is 24 C? A) W B) 25 W C) 81 W D) 67 W E) 47 W 17. If a beaker of water is placed under a broiler so that the heating coil is above the beaker. It is observed that only the surface layer boils. The water at the bottom of the beaker remains close to the initial temperature of the water. Which of the following statements is the most reasonable conclusion to be drawn from these observations? A) Water is a poor conductor of heat. B) The sample must contain impurities. C) Water is easily heated by radiation. D) Water exhibits anomalous thermal behavior. E) The molecular motion in the sample is not random. Page 5
6 18. The two ends of an iron rod are maintained at different temperatures. The amount of heat that flows through the rod by conduction during a given time interval does not depend upon A) the length of the iron rod. B) the thermal conductivity of iron. C) the temperature difference between the ends of the rod. D) the mass of the iron rod. E) the duration of the time interval. 19. Three thermometers are in the same water bath. After thermal equilibrium is established, it is found that the Celsius thermometer reads 0 C, the Fahrenheit thermometer reads 12 F, and the Kelvin thermometer reads 273 K. Which one of the following statements is the most reasonable conclusion? A) The Kelvin thermometer is incorrect. B) The Celsius thermometer is incorrect. C) The Fahrenheit thermometer is incorrect. D) All three thermometers are incorrect. E) The three thermometers are at different temperatures. 20. The specific heat capacity of a certain metal is 0.12 cal/g-c. A 120-gram block of this metal at 90 o C is placed in 300 grams of water at 25 o. What will be the final temperature (in Celsius) of the water, assuming no heat is lost to the environment? A) B) C) D) E) None of these Page 6
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