Exam 15: Fluids

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

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One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms.Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits.The hurricane rapidly decreases the external air pressure to 0.910 atm.What net outward force is exerted on a square window of the house that is One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms.Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits.The hurricane rapidly decreases the external air pressure to 0.910 atm.What net outward force is exerted on a square window of the house that is   On each side? (1.00 atm = 1.01 × 10<sup>5</sup> Pa) On each side? (1.00 atm = 1.01 × 105 Pa)

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An object has a volume of 4.0 m3 and weighs 40,000 N.What will its apparent weight be in water of density 1000 kg/m3?

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When a heavy metal block is supported by a cylindrical vertical post of radius R,it exerts a force F on the post.If the diameter of the post is increased to 2R,what force does the block now exert on the post?

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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 rate at which the water level is falling in the tank 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 rate at which the water level is falling in the tank 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 rate at which the water level is falling in the tank 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 rate at which the water level is falling in the tank 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 rate at which the water level is falling in the tank is closest to

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A 100-kg person sits on a 5-kg bicycle.The total weight is borne equally by the two wheels of the bicycle.The tires are 2.0 cm wide and are inflated to a gauge pressure of 8.0 × 105 Pa.What length of each tire is in contact with the ground?

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A solid sphere of mass 8.6 kg,made of metal whose density is 3,400 kg/ A solid sphere of mass 8.6 kg,made of metal whose density is 3,400 kg/   ,hangs by a cord.When the sphere is immersed in a liquid of unknown density,the tension in the cord is 38 N.The density of the liquid is closest to which one of the following values? ,hangs by a cord.When the sphere is immersed in a liquid of unknown density,the tension in the cord is 38 N.The density of the liquid is closest to which one of the following values?

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A 1938 nickel has a diameter of 21.21 mm,a thickness of 1.95 mm,and weighs 0.04905 N.What is its density?

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A solid object floats in water with three-fourths of its volume beneath the surface.What is the object's density? The density of water is 1000 kg/m3.

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A waiter fills your water glass with ice water (containing many ice cubes)such that the liquid water is perfectly level with the rim of the glass.As the ice melts,

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An incompressible ideal 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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A cubical box 25.0 cm on each side is immersed in a fluid.The pressure at the top surface of the box is 109.40 kPa and the pressure on the bottom surface is 112.00 kPa.What is the density of the fluid?

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A container has a vertical tube,whose inner radius is 12.00 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 12.00 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 gauge pressure at level B is closest to  The gauge pressure at level B is closest to A container has a vertical tube,whose inner radius is 12.00 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 gauge pressure at level B is closest to

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Ideal incompressible water is flowing in a drainage channel of rectangular cross-section.At one point,the width of the channel is 12 m,the depth of water is 6.0 m,and the speed of the flow is 2.5 m/s.At a point downstream,the width has narrowed to 9.0 m,and the depth of water is 8.0 m.What is the speed of the flow at the second point?

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An object floats with half its volume beneath the surface of the water.The weight of the displaced water is 2000 N.What is the weight of the object? The density of water is 1000 kg/m3.

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A 50-cm3 block of wood is floating on water,and a 50-cm3 chunk of iron is totally submerged in the water.Which one has the greater buoyant force on it?

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A spherical ball of lead (density 11.3 g/cm3)is placed in a tub of mercury (density 13.6 g/cm3).Which answer best describes the result?

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A 13,000-N vehicle is to be lifted by a 25-cm diameter hydraulic piston.What force needs to be applied to a 5.0 cm diameter piston to accomplish this? Assume the pistons each have negligible weight.

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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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Ideal incompressible water flows through a horizontal pipe of cross-sectional area 10.0 cm2 at a pressure of 0.250 atm with a volume flow rate of 1.00 × 10-3 m3/s.At a valve,the effective cross-sectional area of the pipe is reduced to 5.00 cm2.What is the pressure at the valve?

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