Exam 9: Fluids

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Water is flowing through a pipe with a constriction. The diameter of the narrow section is one-third the diameter of the wide section. If the velocity of the incompressible fluid is 3.6 m/s in the narrow section, then what is the velocity of the fluid in the wide section?

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Atmospheric pressure is 1.013 × 105 N/m2. The pressure of the atmosphere in kPa is

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A ball with a diameter of 10.0 cm is submerged in water. The buoyant force of the water on the ball is

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Water with a density of 1,000 kg/m3 flows through a 4.00 cm diameter pipe with a velocity of 1.20 m/s. What is the mass flow rate?

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A submarine is located 2.000 km below the surface of the water. What is the absolute pressure of the seawater on the outside of the submarine? (density of seawater is 1,025 kg/m3)

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Two cylinders, one made of lead (density 11,340 kg/m3) and one of copper (density 8,940 kg/m3), have the same radius and height. They are thrown into a pool of water (density 1,000 kg/m3) and sink to the bottom. As they are sinking, describe the buoyant forces on the cylinders.

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The difference in blood pressure between the head and the foot of a person who is 2.00 m tall and standing up is (density of blood is 1,060 kg/m3)

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Water has a density of 1,000 kg/m3. The height of a column of water that would produce a pressure of 1.013 × 105 N/m2 is

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An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 2.00 m below the wide section. What is the diameter of the narrow section, if the pressure of the fluid in the narrow section is equal to the pressure in the wide section? (density of the fluid is 1,000 kg/m3)

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A container has a large cylindrical lower part with a long thin cylindrical neck. The lower part of the container holds 12.5 m3 of water and the surface area of the bottom of the container is 5.00 m2. The height of the lower part of the container is 2.50 m and the neck contains a column of water 8.50 m high. The total volume of the column of water in the neck is 0.200 m3. What is the magnitude of the force exerted by the water on the bottom of the container?

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The pressure at what depth in seawater (density 1,025 kg/m3) is equivalent to that at a depth of 10.0 m in fresh water (density 1,000 kg/m3)?

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Water flows in a flexible tube of radius 1.5 cm at the floor level of a house. The tube is joined to a second tube of smaller radius (1.2 cm), which runs to a floor 7.2 m above. If the pressure in the lower tube is 214 kPa, and the pressure in the upper tube is 107 kPa, what is the speed of water in the upper (smaller radius) tube?

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You would like to drink water through a straw that is 12 cm long, held vertically. The atmospheric pressure is standard, 101.3 kPa. With one end of the straw just inside your mouth, and the other just beneath the water surface, what maximum pressure inside your mouth would enable you to drink the water? Ignore viscosity.

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What is the density of a mixture of 85% air (density air 1.20 kg/m3) and 15% water vapor (density of water vapor 0.600 kg/m3)?

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Two objects of different shapes, sizes, and materials, are floating in water (density 1000 kg/m3). Object A floats with 60% of its volume submerged, while object B floats with 50% of its volume submerged. What can be concluded about the densities ρA and ρB of the two objects?

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Air with a density of 1.20 kg/m3 flows through a 75.0 cm diameter pipe with a velocity of 2.00 m/s. What is the mass flow rate?

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An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

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A viscous fluid is flowing through a small tube at a rate of 2.0 × 10−4 m3/s. If the pressure difference between the ends of the tube is doubled and the radius is also doubled, then what is the new rate of flow of the fluid?

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In an attempt to avoid "the bends", which occurs if a diver rises too quickly after having been at great depth in the ocean for a long period of time, a diver should come to the surface relatively slowly. What would the rate of change (in Pa/s) of the water pressure be on a diver in the ocean as he rose at 15 m/min? The density of seawater is 1,017 kg/m3.

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A wooden ball is tied to the bottom of a swimming pool by a string. What is the tension in the string if the ball's diameter is 0.15 m and its mass is 144 g? The water in the pool is fresh water, density 1,000 kg/m3.

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