Exam 9: Fluids

Two spheres are made of wood - the first is of a variety of wood whose density is equal to that of water,while the second is of a variety whose density is greater than that of water.These spheres have the same volume - and the first remains wherever it is placed in the water,so it is effectively suspended in mid-water.The second rests on the bottom,being more dense than water.Compare the buoyant forces on the two spheres.

A submarine is located 1.000 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)

A 1.10 kg hollow steel ball is submerged in water.It weighs in water 8.75 N.The volume of the cavity inside the ball is (density of steel is 7,900 kg/m³)

A 2525 kg truck can be held up by a piston of radius 15 cm through a hydraulic lift by a force of 175 N on a piston of what radius?

Atmospheric pressure is 1.013 $\times$ 10⁵ N/m².The pressure of the atmosphere in pounds/in² is

Water is flowing through a pipe with a constriction.The area of the narrow section is one-half the area of the wide section.If the velocity of the incompressible fluid is 3.2 m/s in the wide section,then what is the velocity of the fluid in the narrow section?

Water with a density of 1,000 kg/m³ flows through a 2.00 cm diameter pipe with a velocity of 2.40 m/s.What is the volume flow rate?

An incompressible fluid is flowing through a pipe with a constriction.The pipe is on an incline with an angle of 30.0 degrees.The narrow section is 10.0 m from the wide section and the narrow section is higher than the wide section.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 1000 kg/m³)

A 120 kg scuba diver with tanks and equipment is submerged and floating underwater in seawater.The volume of the seawater displaced by the scuba diver with tanks and equipment is

An incompressible fluid is flowing through a pipe with a constriction.The pipe is on an incline with an angle of 30.0 degrees.The narrow section is 10.0 m from the wide section and the narrow section is higher than the wide section.The velocity of the fluid in the wide section of the pipe is 4.00 m/s.The diameter of the wide section is 12.00 cm and the diameter of the narrow section is 9.00 cm.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)

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?

Mercury has a density of 13,600 kg/m³.The column of mercury that would produce a pressure of 1.0135 $\times$ 10⁵ N/m² is

The pressure at a depth of 1.25 m in a tank of liquid is measured to be 125.5 kPa.The tank is open to the outside air - which is at a pressure of 102.0 kPa.What is the density of the fluid?

Air with a density of 1.20 kg/m³ flows through a 10.0 cm diameter pipe with a velocity of 1.20 m/s.What is the mass flow rate?

A ball with a diameter of 20.00 cm is placed in water with 75% of its volume out of the water.The buoyant force of the water on the ball is

An incompressible fluid is flowing through a pipe with a constriction.The pipe is on an incline with an angle of 20.0 degrees.The narrow section is 15.0 m from the wide section and the narrow section is higher than the wide section.The velocity of the fluid in the wide section of the pipe is 6.00 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)

The car lift in a gas station operates with an air pressure of 2000 kPa.The piston of the car lift has a diameter of 30.0 cm.What is the mass of the largest car that the lift can raise?

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 for the pressure of the fluid in the narrow section to equal the pressure in the wide section? (density of the fluid is 1,000 kg/m³)

A small steel sphere falls with a terminal velocity in a viscous fluid of 2.00 cm/s.If the radius of the steel sphere is doubled,then what is the terminal velocity of the sphere?

An incompressible fluid is flowing through a pipe with a constriction.The pipe is on an incline with an angle of 30.0 degrees.The narrow section is 10.0 m from the wide section and the narrow section is lower than the wide section.The velocity of the fluid in the wide section of the pipe is 2.00 m/s and the velocity of the fluid in the narrow section of pipe is 10.0 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)