Exam 18: Fluids

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A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m3)is raised up so the rock is totally submerged in the water.The scale now reads 12.5 N.What is the density of the rock?

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What is the radius of a sphere that has a density of 5000 kg/m3 and a mass of 6.00 kg?

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An incompressible fluid flows steadily through a pipe that has a change in diameter.The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s.What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

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Water is flowing in a horizontal pipe of diameter d.If you want to change the diameter of this pipe so that the speed of the water would be half as great as it was,what should be the new diameter?

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A piece of wood is floating in a bathtub.A second piece of wood sits on top of the first piece,and does not touch the water.If the top piece is taken off and placed in the water,what happens to the water level in the tub?

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At a certain depth in the ocean,the absolute pressure is p.If you go to twice that depth (treating the water as incompressible)

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A 12,000-N car is raised using a hydraulic lift,which consists of a U-tube with arms of unequal areas,filled with incompressible oil with a density of 800 kg/m3 and capped at both ends with tight-fitting pistons.The wider arm of the U-tube has a radius of 18.0 cm and the narrower arm has a radius of 5.00 cm.The car rests on the piston on the wider arm of the U-tube.The pistons are initially at the same level.What is the force that must be applied to the smaller piston in order to lift the car after it has been raised 1.20 m? (For purposes of this problem,you can neglect the weight of the pistons.)

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Suppose that the build-up of fatty tissue on the wall of an artery decreased the radius by 10%.By what percent would the arterial pressure difference produced by the heart have to be increased to maintain a constant blood flow?

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Water flows through a pipe having a varying width.More water flows per second through the wide section than through the narrow section because there is more room for it to flow.

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Water,of density 1000 kg/m3,is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s.At what rate is water flowing in this channel?

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Consider a very small hole in the bottom of a tank 20.0 cm in diameter filled with water to a height of 50.0 cm. Find the speed at which the water exits the tank through the hole.

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A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of density 1.00 × 103 kg/m3 with its axis vertical so that its faces are parallel to the surface of the water.The upper face is 2.50 m below the surface of the water.The net force on this cylinder is observed to be 1120 N downward.Atmospheric pressure is 1.01 × 105 Pa.What is the weight of the cylinder?

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Water flows in the horizontal pipe shown in the figure.At A the diameter is 5.00 cm and at B the diameter is 4.00 cm The fluid in the manometer is mercury,which has a density of 13,600 kg/m3.The manometer reading h is 4.40 cm.We can treat water as an ideal fluid having a density of 1000 kg/m3.What volume of water is flowing through the pipe per second? Water flows in the horizontal pipe shown in the figure.At A the diameter is 5.00 cm and at B the diameter is 4.00 cm The fluid in the manometer is mercury,which has a density of 13,600 kg/m<sup>3</sup>.The manometer reading h is 4.40 cm.We can treat water as an ideal fluid having a density of 1000 kg/m<sup>3</sup>.What volume of water is flowing through the pipe per second?

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A 7.8-kg solid sphere,made of metal whose density is 2500 kg/m3,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m3),what is the tension in the cord?

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