Exam 13: Solids and Fluids

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A very large wind turbine is used to extract power from the wind.The turbine has a diameter of 120 meters.What is the maximum power this turbine can extract from the wind.Assume a wind speed of 10 m/s and the density of air is 1.2 kg/m3.

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A fountain sends water to a height of 150 meters.What is the difference between the pressure of the water system and the atmospheric pressure?

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In 1964 the freighter Al Kuwait (mass 2.02 * 106 kg)sank in Kuwait harbor.It was re-floated by filling its hull with polystyrene beads.If the density of sea water is 1025 kg/m3,the density of the beads was 28.0 kg/m3,and 30 million beads were required,what was the average radius of one of the beads? Ignore the buoyant force of the steel in the ship.

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A motorist pulls into a gas station and uses a pressure gauge to check one of the tires on her car.The gauge reads 301.3 kPa.What is the absolute pressure of the air in the tire? Atmospheric pressure is 101.3 kPa.

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The maximum pressure that can be obtained in your local mechanic's hydraulic pump is 2.0 * 105 Pa.The piston has a mass of 1.8 * 104 Kg and a radius R = 1.0 m,what is the largest mass (of a car)for which the pump will work? The maximum pressure that can be obtained in your local mechanic's hydraulic pump is 2.0 * 10<sup>5</sup> Pa.The piston has a mass of 1.8 * 10<sup>4</sup> Kg and a radius R = 1.0 m,what is the largest mass (of a car)for which the pump will work?

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A wind turbine is used to extract power from the wind.If the diameter of the turbine is doubled,the maximum power extracted from the wind will increase by a factor of

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Salt water has greater density than fresh water.A boat floats in both fresh water and in salt water.The submerged volume of the boat in salt water is _____ that in fresh water.

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A 500-g cubic block of a composite material floats with 40% of its volume submerged in your swimming pool.The force you have to apply to fully submerge it in the water is

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The cylindrical container in figure has a radius of 1 m and contains motor oil with viscosity of 0.3 Pa s and a density of 670 kg m-3.Oil is seen to flow out of the 20-cm long,2-cm diameter tube at the bottom of the container.How long will it take 5.65 * 10-3 m3 of oil to flow out of the tube? Assume the change in the level of the oil in the reservoir over the time period is negligible. The cylindrical container in figure has a radius of 1 m and contains motor oil with viscosity of 0.3 Pa s and a density of 670 kg m<sup>-3</sup>.Oil is seen to flow out of the 20-cm long,2-cm diameter tube at the bottom of the container.How long will it take 5.65 * 10<sup>-3</sup> m<sup>3</sup> of oil to flow out of the tube? Assume the change in the level of the oil in the reservoir over the time period is negligible.

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A beaker is filled with water to the rim.Gently placing a plastic toy duck in the beaker causes some of the water to spill out.The weight of the beaker with the plastic toy duck floating in it is

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The cylindrical container in figure has a radius of 1 m and contains motor oil with a density of 730 kg m-3.Oil is seen to flow out of the 20-cm long,2-cm diameter tube at the bottom of the container.If 3.80 *10-3 m3 of oil flows out of the tube in 29 seconds,what is the viscosity of the oil? Assume the change in the level of the oil in the reservoir over the time period is negligible. The cylindrical container in figure has a radius of 1 m and contains motor oil with a density of 730 kg m<sup>-3</sup>.Oil is seen to flow out of the 20-cm long,2-cm diameter tube at the bottom of the container.If 3.80 *10<sup>-3</sup> m<sup>3</sup> of oil flows out of the tube in 29 seconds,what is the viscosity of the oil? Assume the change in the level of the oil in the reservoir over the time period is negligible.

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Which of the following statements is true?

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A force of 39.2 N is exerted on the small piston of diameter 1.25 cm to support a 1600-kg car on the hydraulic lift shown.What gauge pressure produces this force? A force of 39.2 N is exerted on the small piston of diameter 1.25 cm to support a 1600-kg car on the hydraulic lift shown.What gauge pressure produces this force?

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In the figure,water flows in the pipe as shown.What does the top pressure gauge read? In the figure,water flows in the pipe as shown.What does the top pressure gauge read?

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Assuming that one exhales pure carbon dioxide (relative mass number approximately 44),how many carbon dioxide molecules does one exhale in a single 0.50 liter breath?

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A 3.0-m long steel music wire has a radius of 0.04 mm.When the wire is under a tension of 100 N,how much does its length change?

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What is the ratio in pressure at the closed bottom of an open,1.5-m tall tube of mercury (density 13.7 g/cm3)to that at the top? Assume the laboratory air pressure is 101.5 kPa.

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Water at ground level is moving at a speed of 1.20 m/sec in a pipe at a pressure of 850 kPa.The pipe goes up to the fourth floor of a building where its elevation is 12.5 meters above the ground and its radius is the same.The density of water is 1000 kg/ m3.What is the pressure of the water on the fourth floor?

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A ping-pong ball has a mass of 2.70 g and has a radius of 20.0 mm.What is the magnitude of its acceleration when placed underneath the surface of a pond ( A ping-pong ball has a mass of 2.70 g and has a radius of 20.0 mm.What is the magnitude of its acceleration when placed underneath the surface of a pond (   )and released? Ignore the effect of water resistance )and released? Ignore the effect of water resistance

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What is the change in volume of a 1.00-m3 block of granite between the surface of the ocean and a 3.00 km depth? (Information that might be useful: The pressure at this depth is about 300 times atmospheric pressure.Atmospheric pressure is 1.013 * 105 Pa.The bulk modulus of granite is 5.0 * 1010 Pa.)

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