Exam 15: Fluids

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A cylindrical rod of length 12 cm and diameter 2.0 cm will just barely float in water of density 1000 kg/m3.What is its mass?

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A person weighing 900 N is standing on snowshoes.Each snowshoe has area 2500 cm2 and has negligible weight.What pressure does this person's weight exert on the snow?

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In a section of horizontal pipe with a diameter of 3.0 cm,the pressure is 100 kPa and water is flowing with a speed of 1.5 m/s.The pipe narrows to 2.0 cm.What is the pressure in the narrower region? Treat the water as an ideal incompressible fluid.

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An ideal incompressible fluid flows at 12 m/s in a horizontal pipe.If the pipe widens to twice its original radius,what is the flow speed in the wider section?

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In a hydraulic garage lift,the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm.What force must be applied on the small piston in order to lift a car weighing 20,000 N on the large piston? Assume the pistons each have negligible weight.

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When you blow some air above a paper strip,the paper rises.This happens because

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A hollow steel ball of diameter 3.0 m just barely floats in water.What is the wall thickness of the ball? (ρFe = 7.87 g/cm3,ρwater = 1.00 g/cm3)

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Salt water has greater density than fresh water.A boat floats in both fresh water and in salt water.Where is the buoyant force greater on the boat?

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A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of   As shown in the figure.Point A is 10 m above point B and point C is 3.0 m above point B.The area of the pipe at point B is   And the pipe narrows to an area of   At point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m<sup>3</sup> The mass flow rate in the pipe is closest to  As shown in the figure.Point A is 10 m above point B and point C is 3.0 m above point B.The area of the pipe at point B is A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of   As shown in the figure.Point A is 10 m above point B and point C is 3.0 m above point B.The area of the pipe at point B is   And the pipe narrows to an area of   At point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m<sup>3</sup> The mass flow rate in the pipe is closest to  And the pipe narrows to an area of A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of   As shown in the figure.Point A is 10 m above point B and point C is 3.0 m above point B.The area of the pipe at point B is   And the pipe narrows to an area of   At point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m<sup>3</sup> The mass flow rate in the pipe is closest to  At point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m3 The mass flow rate in the pipe is closest to A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of   As shown in the figure.Point A is 10 m above point B and point C is 3.0 m above point B.The area of the pipe at point B is   And the pipe narrows to an area of   At point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m<sup>3</sup> The mass flow rate in the pipe is closest to

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Consider a very small hole in the bottom of a tank that is Consider a very small hole in the bottom of a tank that is   In diameter and filled with water to a height of   Find the speed at which the water exits the tank through the hole. In diameter and filled with water to a height of Consider a very small hole in the bottom of a tank that is   In diameter and filled with water to a height of   Find the speed at which the water exits the tank through the hole. Find the speed at which the water exits the tank through the hole.

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If atmospheric pressure increases by an amount Δp,which of the following statements about the pressure in a lake is true? (There could be more than one correct choice. )

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A closed cubical chamber resting on the floor contains oil and a piston.If you push down on the piston hard enough to increase the pressure just below the piston by an amount Δp,which of the following statements is correct? (There could be more than one correct choice. )

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A polar bear of mass 200 kg stands on an ice floe that is a uniform 1.0 m thick.What is the minimum area of the floe that will just support the bear in saltwater of density 1030 kg/m3? The density of ice is 980 kg/m3.

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A person who weighs 550 N empties her lungs as much as possible and is then completely immersed in water of density 1000 kg/m3 while suspended from a harness.Her apparent weight is now 21.2 N.What is her density?

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Water flows out of a large reservoir through 5.0-cm diameter pipe.The pipe connects to a 3.0-cm diameter pipe that is open to the atmosphere,as shown in the figure.What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid. Water flows out of a large reservoir through 5.0-cm diameter pipe.The pipe connects to a 3.0-cm diameter pipe that is open to the atmosphere,as shown in the figure.What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid.

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A styrofoam sphere of radius R has a density ρ.You now carefully compress the sphere so its radius is R/2.What is the density of the compressed sphere?

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A 10-kg piece of aluminum sits at the bottom of a lake,right next to a 10-kg piece of lead,which is much denser than aluminum.Which one has the greater buoyant force on it?

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Glycerin,with a viscosity of 1.5 N ∙ s/m2,is flowing with an average speed of 1.2 m/s through a tube that has a radius of 5.0 mm and is 25 cm long.What is the drop in pressure over the length of this pipe?

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A fluid is flowing with an average speed of 1.5 m/s through a tube that has a radius of 2.0 mm and is 18 cm long.The drop in pressure is 967 Pa.What is the viscosity of the fluid?

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A 4.0-kg cylinder of solid iron is supported by a string while submerged in water.What is the tension in the string? The density of iron is 7860 kg/m3 and that of water is 1000 kg/m3.

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