Exam 15: Fluids

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A 1.00-m3 object floats in water with 20.0% of its volume above the waterline.What does the object weigh out of the water? The density of water is 1000 kg/m3.

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A hole of radius 1.0 mm forms in the bottom of a very large water storage tank that holds water to a depth of 15 m.At what volume rate will water flow out of the hole?

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If a ship has a mass of 10 million kilograms,what volume of fresh water must it displace in order to float? The density of water is 1000 kg/m3.

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A 500-N weight sits on the small piston of a hydraulic machine.The small piston has an area of 2.0 cm2.If the large piston has an area of 40 cm2,how much weight can the large piston support? Assume the pistons each have negligible weight.

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A rectangular box of negligible mass measures 5.0 m long,1.0 m wide,and 0.50 m high.How many kilograms of mass can be loaded onto the box before it sinks in a lake having water of density 1000 kg/m3?

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A plastic block of dimensions 2.00 cm × 3.00 cm × 4.00 cm has a mass of 30.0 g.What is its density?

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A barge is 10 m wide and 60 m long and has vertical sides.The bottom of the boat is 1.2 m below the water surface.What is the weight of the barge and its cargo,if it is floating in fresh water of density 1000 kg/m3?

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What buoyant force does a 0.60-kg solid gold crown experience when it is immersed in water? The density of gold is 19.3 × 103 kg/m3 and that of water is 1000 kg/m3.

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A container has a vertical tube,whose inner radius is 20.00 mm,connected to it at its side,as shown in the figure.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20-cm high column of oil,between levels B and C,whose density is A container has a vertical tube,whose inner radius is 20.00 mm,connected to it at its side,as shown in the figure.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20-cm high column of oil,between levels B and C,whose density is   The density of the unknown liquid is closest to  The density of the unknown liquid is closest to A container has a vertical tube,whose inner radius is 20.00 mm,connected to it at its side,as shown in the figure.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20-cm high column of oil,between levels B and C,whose density is   The density of the unknown liquid is closest to

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Consider a brick that is totally immersed in water,with the long edge of the brick vertical.The pressure on the brick is

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The bathyscaphe Trieste consists of a thin-walled but very strong cylindrical hull,15.2 m long and 3.66 m in diameter,filled with gasoline with a density of 880 kg/m3 to make it buoyant.If it is totally submerged in seawater with a density of 1025 kg/m3 and neither rising nor sinking,what is the weight of the Trieste craft?

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A container has a vertical tube,whose inner radius is 24.00 mm,connected to it at its side,as shown in the figure.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20-cm high column of oil,between levels B and C,whose density is A container has a vertical tube,whose inner radius is 24.00 mm,connected to it at its side,as shown in the figure.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20-cm high column of oil,between levels B and C,whose density is   The mass of the oil is closest to  The mass of the oil is closest to A container has a vertical tube,whose inner radius is 24.00 mm,connected to it at its side,as shown in the figure.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20-cm high column of oil,between levels B and C,whose density is   The mass of the oil is closest to

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A pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes a fluid through a pipe.What is the speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter? Treat the fluid as ideal and incompressible.

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The Aswan High Dam on the Nile River in Egypt is 111 m high.What is the gauge pressure in the water at the foot of the dam? The density of water is 1000 kg/m3.

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The Tonga Trench in the Pacific Ocean is 36,000 feet deep.Assuming that sea water has an average density of 1.04 g/cm3,calculate the absolute (total)pressure at the bottom of the trench in atmospheres.(1.00 in = 2.54 cm,1.00 atm = 1.01 × 105 Pa)

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A 200-N object floats with three-fourths of its volume beneath the surface of the water.What is the buoyant force on the object? The density of water is 1000 kg/m3.

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The weight of a 1200-kg car is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure is required so the area of contact of each tire with the road is 100 cm2?

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A barge with vertical sides is 10 m wide and 60 m long and is floating in fresh water of density 1000 kg/m3.How much deeper into the water does the barge sink when 3.0 × 105 kg of coal are loaded on the barge?

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A piece of iron rests on top of a piece of wood floating in a bathtub.If the iron is removed from the wood,and kept out of the water,what happens to the water level in the tub?

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How many grams of ethanol (density 0.80 g/cm3)should be added to 5.0 g of chloroform (density 1.5 g/cm3)if the resulting mixture is to have a density of 1.2 g/cm3? Assume that the fluids do not change their volumes when they are mixed.

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