Exam 9: Solids and Fluids

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A block of wood has specific gravity 0.79.When placed in water,what percent of the volume of the wood is above the surface?

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Water pressurized to 3 × 105 Pa is flowing at 5.0 m/s in a pipe which contracts to 1/2 of its former area.What are the pressure and speed of the water after the contraction? (Density of water = 1 × 103 kg/m3. )

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The pressure inside a commercial airliner is maintained at 1.00 atm (105 Pa).What is the net outward force exerted on a 1.0 m × 2.0 m cabin door if the outside pressure is 0.30 atm?

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How much air must be pushed downward at 40.0 m/s to keep an 800-kg helicopter aloft?

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The water behind Grand Coulee Dam is 1 100 m wide and 150 m deep.Find the hydrostatic force on the back of the dam.(Hint: the total force = average pressure × area)

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A Boeing-737 airliner has a mass of 20 500 kg.The total area of the wings is 100 m2.What must be the pressure difference between the top and bottom of the wings to keep the airplane up?

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What is the total force on the bottom of a 4.0-m-diameter by 1.5-m-deep round wading pool due to the weight of the air and the weight of the water? (Note the pressure contribution from the atmosphere is 1.0 × 105 N/m2,the density of water is 1 000 kg/m3,and g = 9.8 m/s2. )

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The standard kilogram is a platinum-iridium cylinder 30.0 mm in height and 31.0 mm in diameter.What is the density of the material?

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Legend says that Archimedes,in determining whether or not the king's crown was made of pure gold,measured its volume by the water displacement method.If the density of gold is 19.3 g/cm3,and the crown's mass is 600 g,what volume would be necessary to prove that it is pure gold?

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A jet of water flowing from a hose at 14 m/s is directed against a wall.If the mass flow in the fluid stream is 3.0 kg/s,what force is the water applying to the wall if backsplash is negligible?

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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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Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe.Imagine that you take measurements along the pipe in the direction of fluid flow.What happens to the sum of the pressure and energy per unit volume?

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A Venturi tube may be used as the inlet to an automobile carburetor.If the inlet pipe of 2.0 cm diameter narrows to 1.0 cm diameter,what is the pressure drop in the constricted section for airflow of 2.5 m/s in the 2-cm section? (Assume air density is 1.25 kg/m3. )

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

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A heavily loaded boat is floating in a pond.The boat sinks because of a leak.What happens to the surface level of the pond?

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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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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 3.50 kg.What is the density of the rock? (water density = 1 000 kg/m3)

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The condition for onset of turbulent flow is that the Reynolds Number reaches what value?

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