Exam 9: Fluids and Solids

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A reading of a tire gauge tells you that the gauge pressure in a tire is 31 lb/in2.What is the absolute pressure in the tire? Assume that atmospheric pressure is 14 lb/in2.

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Dams at two different locations are needed to form a lake.When the lake is filled,the water level will be at the top of both dams.The Dam #2 is twice as high and twice as wide as Dam #1.How much greater is the force of the water on Dam #2 than the force on Dam #1? (Ignore atmospheric pressure;it is pushing on both sides of the dams. )

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It takes 4.00 minutes to fill a gas tank with 50.0 liters of gasoline.If the pump nozzle is 1.35 cm in radius,what is the average speed of the gasoline as it leaves the nozzle? (1 000 liters = one cubic meter)

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How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 × 105 Pa)

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How much power is theoretically available from a mass flow of 1 000 kg/s of water that falls a vertical distance of 120 m?

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Atmospheric pressure is 1.00 × 105 N/m2,and the density of air is 1.29 kg/m3.If the density of air is constant as you get higher and higher,calculate the height of the atmosphere needed to produce this pressure.

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A stonecutter's chisel has an edge area of 0.50 cm2.If the chisel is struck with a force of 45.0 N,what is the pressure exerted on the stone?

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A centrifuge rotates at 100 rev/s (i.e. ,628 rad/s).If the test tube places the suspension at 8.00 cm from the axis of rotation,by what factor are the terminal speeds of the settling particles increased as compared to sedimentation cause by gravity?

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The water behind Grand Coulee Dam is 1 000 m wide and 200 m deep.Find the hydrostatic force on the back of the dam.(Hint: the total force = average pressure × area)

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The quantity "strain" expressed in terms of the fundamental quantities (mass,length,time)is equivalent to

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The fluid to which Bernoulli's equation is applied is based on what being conserved for the fluid?

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Why do vapor bubbles get larger in boiling water as they approach the surface?

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What is the total mass of the Earth's atmosphere? (The radius of the Earth is 6.4 × 106 m,and atmospheric pressure at the surface is 105 N/m2. )

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Which state of matter is associated with the very highest of temperatures?

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A small sphere is allowed to fall through air,and when the sphere has a speed of 4.8 × 10-4 m/s,the viscous force on the sphere is 3.0 × 10-15 N.If the viscosity of air is 1.4 × 10-5 N·s/m2,what is the radius of the drop?

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A solid rock,suspended in air by a spring scale,has a measured mass of 8.50 kg.When the rock is submerged in water,the scale reads 4.00 kg.What is the density of the rock? (water density = 1 000 kg/m3)

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If the column of mercury in a barometer stands at 73.0 cm,what is the atmospheric pressure? (The density of mercury is 13.6 × 103 kg/m3 and g = 9.80 m/s2)

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Water (density = 1.00 × 103 kg/m3)flows at 7.2 m/s through a pipe with radius 0.025 m.The pipe goes up to the second floor of the building,2.00 m higher,and the pressure remains unchanged.What is the radius of the pipe on the second floor?

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An ice cube with a small solid steel sphere frozen inside floats in a glass of water filled to the brim.What happens to the level of water in the glass as a result of the ice melting?

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What volume of water is displaced by a submerged 2.0-kg cylinder made of solid aluminum? (aluminum density = 2.7 × 103 kg/m3 and water density = 1.0 × 103 kg/m3)

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