Exam 14: Fluids

The diagram shows a U-tube having cross-sectional area A and partially filled with oil of density $\rho$ .A solid cylinder, which fits the tube tightly but can slide without friction, is placed in the right arm.The system reaches equilibrium.The weight of the cylinder is:

A large tank filled with water has two holes in the bottom, one with twice the radius of the other.In steady flow the speed of water leaving the larger hole is ________ the speed of the water leaving the smaller.

Mercury is a convenient liquid to use in a barometer because:

A U-tube has dissimilar arms, one having twice the diameter of the other.It contains an incompressible fluid and is fitted with a sliding piston in each arm, with each piston in contact with the fluid.When an applied force does work W in pushing the piston in the narrow arm down, the fluid does work __________ on the piston in the wide arm.

A U-tube has dissimilar arms, one having twice the diameter of the other.It contains an incompressible fluid and is fitted with a sliding piston in each arm, with each piston in contact with the fluid.When the piston in the narrow arm is pushed down a distance d, the piston in the wide arm rises a distance:

A large water tank, open at the top, has a small hole in the bottom.When the water level is 30 m above the bottom of the tank, the speed of the water leaking from the hole:

"An object completely submerged in a fluid displaces its own volume of fluid." This is:

An open-tube manometer is used to measure the gauge pressure in a tank.If the manometer is filled with mercury, and the open end is at a height of 15 cm above the end attached to the tank, what is the gauge pressure in the tank? The density of mercury is 14 x 10³ kg/m³.

Water (density = 1.0 * 10³ kg/m³)flows through a horizontal tapered pipe.At the wide end its speed is 4.0 m/s.The difference in pressure between the two ends is 4.5 *10³ Pa.The speed of the water at the narrow end is:

Water flows through a cylindrical pipe of varying cross-section.The velocity is 3.0 m/s at a point where the pipe diameter is 1.0 cm.At a point where the pipe diameter is 3.0 cm, the velocity is:

Which of the following statements about Pascal's principle is true?

Water is pumped through the hose shown below, from a lower level to an upper level.Compared to the water at point 1, the water at point 2:

A steel ax and an aluminum piston have the same apparent weight in water.When they are weighed in air:

A certain object floats in fluids of density Which of the following statements is true?

Bernoulli's equation can be derived from the conservation of:

A boat floating in fresh water displaces 16,000 N of water.How many newtons of salt water would it displace if it floats in salt water of specific gravity 1.10?

Water is streaming downward from a faucet opening with an area of 3.0 * 10^-5 m².It leaves the faucet with a speed of 5.0 m/s.The cross sectional area of the stream 0.50 m below the faucet is:

A non-viscous incompressible liquid is flowing through a horizontal pipe of constant cross-section.Bernoulli's equation and the equation of continuity predict that the drop in pressure along the pipe:

Barometers and open-tube manometers are two instruments that are used to measure pressure.Which statement is true?

A long U-tube contains mercury (density = 14 *10³ kg/m³).When 10 cm of water (density = 1.0 * 10³ kg/m ³)is poured into the left arm, the mercury in the right arm rises above its original level by: