Exam 14: Sound: Part A

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If the surface temperature of the Earth is 290 K and that of the Sun is 6000 K,assuming the same emissivities,what is the ratio of the energy radiated per square meter of the Earth to that of the Sun?

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An inventor develops a stationary cycling device by which an individual,while pedaling,can convert all of the energy expended into heat for warming water.How much mechanical energy is required to increase the temperature of 300 g of water (enough for 1 cup of coffee)from 30°C to 90°C? (1 cal = 4.186 J,the specific heat of water is 4186 J/kg · °C)

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A steel sphere sits on top of an aluminum ring.The steel sphere (α = 1.10 × 10−5/°C)has a diameter of 4.0000 cm at 0°C.The aluminum ring (α = 2.40 × 10−5/°C)has an inside diameter of 3.9900 cm at 0°C.Closest to which temperature given will the sphere just fall through the ring?

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If it is given that 546 K equals 273°C,then it follows that 423 K equals:

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Find the final equilibrium temperature when 20.0 g of milk at 10.0°C is added to 160 g of coffee at 90.0°C.(Assume the specific heats of coffee and milk are the same as water and neglect the heat capacity of the container,and cwater = 1.00 cal/g·°C = 4186 J/kg·°C)

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Which of the following has the highest specific heat?

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A pipe of length 10.0 m increases in length by 2.0 cm when its temperature is increased by 90°F.What is its coefficient of linear expansion?

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A 2.00-kg copper rod is 40.00 cm long at 23°C.If 50,000 J are transferred to the rod by heat,what is its change in length? (ccopper = 387 J/kg·°C and αcopper = 17 × 10-6/°C)

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A waterfall is 70 m high.What is the increase in water temperature at the bottom of the falls if all the initial potential energy goes into heating the water? (g = 9.8 m/s2,cw = 4186 J/kg·°C)

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A metal bar is used to conduct heat.When the temperature at one end is 100°C and at the other is 20°C,heat is transferred at a rate of 16 J/s.If the temperature of the hotter end is reduced to 60°C,what will be the rate of heat transfer?

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100 g of liquid nitrogen at its boiling point of 77 K is stirred into a beaker containing 600 g of 15°C water.If the nitrogen leaves the solution as soon as it turns to gas,how much water freezes? The heat of vaporization of nitrogen is 48 cal/g and that of water is 80 cal/g.

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A 20-kg piece of aluminum (which has a specific heat of 900 J/kg · °C)is warmed so that its temperature increases by 5.0°C.How much heat was transferred into it?

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A silver bar of length 30 cm and cross-sectional area 2.0 cm2 is used to transfer heat from a 100°C reservoir to a 0°C block of ice.How much ice is melted per second? (For silver,k = 427 W / m · °C.For ice,Lf = 334,000 J/kg. )

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An 100-g piece of copper,initially at 295°C,is dropped into 250 g of water contained in a 300-g aluminum calorimeter;the water and calorimeter are initially at 10.0°C.What is the final temperature of the system? (Specific heats of copper and aluminum are 0.0920 and 0.215 cal/g·°C,respectively.cw = 1.00 cal/g·°C)

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A temperature change from 15°C to 45°C corresponds to what incremental change in °F?

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If a 2100-kg car was moving at 30 m/s,what would be its kinetic energy expressed in the unusual (for kinetic energy)units of calories? (1 cal = 4.186 J)

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A solar heated house loses about 7.4 × 107 cal through its outer surfaces on a typical 24-hour winter day.What mass of storage rock is needed to provide this amount of heat if it is brought up to initial temperature of 62°C by the solar collectors,and the house is maintained at 20°C? (Specific heat of rock is 0.21 cal/g · °C. )

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A brass cube,10 cm on a side,is raised in temperature by 150°C.The coefficient of volume expansion of brass is 57 × 10−6/°C.By what percentage does volume increase?

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At 20°C an aluminum ring has an inner diameter of 5.000 cm,and a brass rod has a diameter of 5.020 cm.Keeping the brass rod at 20°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (αAl = 2.4 × 10−5 /°C,αbrass = 1.9 × 10−5/°C )

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Suppose the ends of a 20-m long steel beam are rigidly clamped at 0°C to prevent expansion.The rail has a cross-sectional area of 15 cm2.What force does the beam exert when it is heated to 40°C? (αsteel = 1.1 × 10−5/C°,Ysteel = 2.0 × 1011 N/m2)

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