Exam 14: Fluid Mechanics

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A venturi tube may be used as the inlet to an automobile carburetor.If the 2.0-cm diameter pipe narrows to a 1.0-cm diameter,what is the pressure drop in the constricted section for an airflow of 3.0 m/s in the 2.0-cm section? (ρ = 1.2 kg/m3. )

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A supertanker filled with oil has a total mass of 6.1 × 108 kg.If the dimensions of the ship are those of a rectangular box 300 meters long,80 meters wide,and 40 meters high,determine how far the bottom of the ship is below sea level.(ρsea = 1 020 kg/m3. )

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A wood block is placed on top of the ice in a large bowl half full of ice.The bowl is then filled to the brim with water,with the wood block riding on top of the ice.As the ice melts,

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Water pressurized to 3.5 × 105 Pa is flowing at 5.0 m/s in a horizontal pipe which contracts to 1/3 its former area.What are the pressure and velocity of the water after the contraction?

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A vertical pipe,closed at the bottom end,is filled to a depth of 1.00 m with water and then an amount of oil of density A vertical pipe,closed at the bottom end,is filled to a depth of 1.00 m with water and then an amount of oil of density    is added to make the total depth 2.00 m.The oil and water don't mix with the oil floating on top of the water.What is the increase in pressure at the bottom end of the pipe as a result of adding the fluids? is added to make the total depth 2.00 m.The oil and water don't mix with the oil floating on top of the water.What is the increase in pressure at the bottom end of the pipe as a result of adding the fluids?

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A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added.As the ice starts to melt

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An empty spice bottle has an inner volume of 1.31 × 10−4 m3.It has a mass of 112 g when filled with air,and it displaces 1.63 × 10−4 m3 of water when fully submerged.What volume of mercury (ρHg = 13.6 × 103 kg/m3)must be added to the empty bottle so that it will just submerge?

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One hundred milliliters of water is poured into a U-tube that has a cross-sectional area of 1 cm2.Then 100 milliliters of oil,with a density 80% that of water,is poured down one side of the U-tube so that the oil floats on the water.Find the difference in height of the liquid surfaces on the two sides of the U-tube.

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Find the average density of a red giant star with a mass of 20 × 1030 kg (approximately 10 solar masses)and a radius of 150 × 109 m (equal to the Earth's distance from the sun).

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The water level in a reservoir is maintained at a constant level.What is the exit velocity in an outlet pipe 3.0 m below the water 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 1 ATM = 1.01 × 105 N/m2.

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Two identical fish,both at sea level,float in two identical aquariums with identical quantities of water.Fish A is in Alaska,so it weighs more than fish B at the equator,since g is larger at sea level in Alaska.Which statement is correct?

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A blimp is filled with 200 m3 of helium.How much mass can the balloon lift? The density of helium is one-seventh that of air,and the density of air is 1/800 that of water.Consider the mass of the balloon to be negligible.

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A natural gas pipeline with a diameter 0.250 m delivers 1.55 cubic meters of gas per second.What is the flow speed of the gas in the pipeline?

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A stonecutter's chisel has an edge area of 0.7 cm2.If the chisel is struck with a force of 42 N,what is the pressure exerted on the stone?

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A hole is punched in a full milk carton,10 cm below the top.What is the initial velocity of outflow?

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A hose has been clamped so that the area at the clamp is only one quarter the area of the rest of the hose.When we ignore the viscosity of water,the ratio of the speed of the water through the clamped area to the speed of the water when it leaves the hose is

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An iron block of density ρFe and of volume l3 is immersed in a fluid of density ρfluid.The block hangs from a scale which reads W as the weight.The top of the block is a height h below the surface of the fluid.The correct equation for the reading of the scale is

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Find the average density of a white dwarf star if it has a mass equal to that of the sun (2.0 × 1030 kg)and a radius equal to that of the Earth (6.4 × 106 m).

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Melanie says that when a diver enters an underwater cave of height h,the pressure on her is no greater than ρWgh.Rosalind says that if the bottom of the cave is a distance H below the water surface,the pressure on the soles of the diver's feet can reach ρWgH.Which one,if either,is correct? (The density of water is ρW. )

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