Exam 13: Fluids

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A hurricane strength wind is blowing at a speed of 100 km/hr over a flat square roof of 10 m per side.Assuming the inside of the house to be at 1 atm pressure and the density of air is 1.3 kg/m3,calculate the lifting force on the roof.

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A pump is used to circulate SAE 10W oil at 30 \circ C in an engine.What is the minimum pressure the pump must provide if it is to achieve a flow rate of 1L/s along a tube that is 1 m long with an inner diameter of 2 cm?

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A small portion of an incompressible liquid in steady flow through a pipe of variable cross section,if friction is negligible,has at each point throughout its path a constant

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A rock is thrown into a swimming pool that is filled with water at a uniform temperature.Which of the following statements is true?

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One statement of Bernoulli's law is At any two points along a pipe in which there is a liquid in steady flow,the sum of the pressure,the kinetic energy per unit volume,and the potential energy per unit volume has the same value. For this statement to be true,it is not necessary to have

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A block of material has a density ρ\rho .A second block of equal volume has three times the mass of the first.What is the density of the second block?

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You are floating in a boat in a swimming pool.There are some large stones,with a density of 2.5 g/cm3,in the boat.You throw the stones out of the boat and they sink to the bottom of the pool.The water level h,measured vertically at the end of the pool __________ as the stones are thrown out.

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A pump is used to circulate oil in an engine.If the diameter of the tube connecting the pump to the engine is increase by a factor of 2,the resulting pressure drop at the end of the tube changes by a factor of

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A block of wood of length L = 21.0 cm,width w = 9.53 cm,and height h = 5.92 cm is just barely immersed in water by placing a mass m on the top of the block.The density of the wood is ρ\rho = 0.390 g/cm3.The value of m is

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A flat plate with a negligible mass and an area of 1.0 cm2 is placed in a horizontal position well beneath the surface in a liquid that is not moving.The pressure at the location of the plate is P Pa.The total force that arises from the pressure of the liquid on this plate is

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Using a motion sensor,Susana finds that the acceleration of a 4-kg rock that has been dropped from the roof of a building is 6 m/s2.She concludes that the magnitude of force of air resistance acting on the rock is approximately

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A block of wood of relative density 0.750 and dimensions 20.3 cm ×\times 30.5 cm ×\times 40.6 cm is tossed into a choppy freshwater lake.After a reasonable time,the approximate vertical dimension above the water will be

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A hypodermic needle can be thought of as a large area pipe leading to a small area pipe that opens into the vein.The diameter of the plunger is 1.2 cm and the needle diameter is 0.15 cm.If the gauge pressure in the vein is 25 mmHg,what minimum force is needed on the plunger in order for a fluid flow into the vein to occur?

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A horizontal pipe of 50 cm2 cross-sectional area carries a fluid of unknown density at a speed of 3.0 m/s.This pipe feeds a smaller pipe of cross section 25 cm2.If the pressure difference between the two sections of pipe is 9000 Pa,find the density of the fluid.

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A block of wood of mass 300 g and density 0.75 g/cm3 is floating on the surface of a liquid of density 1.1 g/cm3.What mass of lead (density = 11.3 g/cm3)must be added to the block in order for the combination just to be submerged?

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The force exerted by a stationary liquid on an inclined rectangular surface at rest in the liquid

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Use the figure to the right to answer the next problem. A beaker is filled with water.A small plastic container contains a solid bar of aluminum,which has a mass of 40 g,and is placed on the water so that it floats.The water level reads 60 ml.Next,the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom. Use the figure to the right to answer the next problem. A beaker is filled with water.A small plastic container contains a solid bar of aluminum,which has a mass of 40 g,and is placed on the water so that it floats.The water level reads 60 ml.Next,the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom.   -By how much does the water level change? (density of Al is 2.7 g/cm<sup>3</sup>) -By how much does the water level change? (density of Al is 2.7 g/cm3)

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A ball bearing that has a density of 5.16 g/cm3 is held at rest under the surface of a liquid that has a density of 2.50 g/cm3.The magnitude of the acceleration of the ball bearing just after it is released is

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Which conservation law governs the Bernoulli's equation?

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A small sphere of wood with a density ρ\rho = 0.40 g/cm3 is held at rest well under the surface of a pool of water.The magnitude of the initial acceleration of the sphere when it is released is

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