Exam 18: Fluids

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A level pipe contains a nonviscous,incompressible fluid with a density 1200 kg/m3 that is flowing steadily. At one position within the pipe,the pressure is 300 kPa and the speed of the flow is 20.0 m/s. At another position,the pressure is 200 kPa. What is the speed of the flow at this second position?

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Glycerin,with a viscosity of 1.50 N • s/m2,is flowing with an average speed of 1.20 m/s through a tube that has a radius of 5.00 mm and is 25.0 cm long.What is the drop in pressure between the ends of the tube?

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A 6.1-kg solid sphere,made of metal whose density is 2600 kg/m3,is suspended by a cord.When the sphere is immersed in a liquid of unknown density,the tension in the cord is 26 N.Find the density of the liquid.

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As shown in the figure,a container has a vertical tube,whose inner radius is 32.00 mm,connected to it at its side.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 20.0-cm high column of oil,between levels B and C,whose density is 460 kg/m3.What is the density of the unknown liquid? As shown in the figure,a container has a vertical tube,whose inner radius is 32.00 mm,connected to it at its side.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 20.0-cm high column of oil,between levels B and C,whose density is 460 kg/m<sup>3</sup>.What is the density of the unknown liquid?

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Fluid fills the container shown in the figure.At which of the indicated points is the pressure greatest? Fluid fills the container shown in the figure.At which of the indicated points is the pressure greatest?

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A rock is under water in a shallow lake.As the rock sinks deeper and deeper into water,the buoyant force on it

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Motor oil,with a viscosity of 0.250 N • s/m2,is flowing through a tube that has a radius of 5.00 mm and is 25.0 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

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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 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 initial force that must be applied to the smaller piston in order to start lifting the car? (For purposes of this problem,you can neglect the weight of the pistons.)

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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 in the horizontal pipe shown in the figure.At point A the area is 25.0 cm2 and the speed of the water is Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm<sup>2</sup> and the speed of the water is   At B the area is 16.0 cm<sup>2</sup>.The fluid in the manometer is mercury,which has a density of 13,600 kg/m<sup>3</sup>.We can treat water as an ideal fluid having a density of 1000 kg/m<sup>3</sup>.What is the manometer reading h?  At B the area is 16.0 cm2.The fluid in the manometer is mercury,which has a density of 13,600 kg/m3.We can treat water as an ideal fluid having a density of 1000 kg/m3.What is the manometer reading h? Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm<sup>2</sup> and the speed of the water is   At B the area is 16.0 cm<sup>2</sup>.The fluid in the manometer is mercury,which has a density of 13,600 kg/m<sup>3</sup>.We can treat water as an ideal fluid having a density of 1000 kg/m<sup>3</sup>.What is the manometer reading h?

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

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If you double the pressure on the surface of a can of water,the buoyant force on a stone placed in that water will

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A cubical box,5.00 cm on each side,is immersed in a fluid.The gauge pressure at the top surface of the box is 594 Pa and the gauge pressure on the bottom surface is 1133 Pa.What is the density of the fluid?

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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 net force does the water exert on the lower face of the cylinder?

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The two water reservoirs shown in the figure are open to the atmosphere,and the water has density 1000 kg/m3.The manometer contains incompressible mercury with a density of 13,600 kg/m3.What is the difference in elevation h if the manometer reading m is 25.0 cm? The two water reservoirs shown in the figure are open to the atmosphere,and the water has density 1000 kg/m<sup>3</sup>.The manometer contains incompressible mercury with a density of 13,600 kg/m<sup>3</sup>.What is the difference in elevation h if the manometer reading m is 25.0 cm?

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Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was 36 m/s,what is its speed in this smaller section?

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A hollow steel ball of diameter 3.0 m barely floats in water.What is the thickness of the wall of the ball? The density of iron is 7.87 g/cm3 and that of water is 1000 kg/cc

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A large cylindrical water tank is mounted on a platform with its central axis vertical.The water level is 3.75 m above the base of the tank,and base is 6.50 m above the ground.A small hole,2.22 mm in diameter,has formed in the base of the tank.Both the hole and the top of the tank are open to the air.We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m3. (a)How many cubic meters of water per second is this tank losing? (b)How fast is the water from the hole moving just as it reaches the ground?

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Salt water is more dense than fresh water.A ship floats in both fresh water and salt water.Compared to the fresh water,the volume of salt water displaced by the ship is

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The small piston of a hydraulic lift has a diameter of 8.0 cm,and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N. (a)Determine the force that must be applied to the small piston. (b)Determine the pressure applied to the fluid in the lift.

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