19. Fluid Mechanics

Water from a vertical pipe emerges as a 10-cm-diameter cylinder and falls straight down 7.5 m into a bucket. The water exits the pipe with a speed of 2.0 m/s. What is the diameter of the column of water as it hits the bucket?

If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 54cm x 31 cm x 22 cm, what would its mass be?

A solid gold bar is pulled up from the hold of the sunken RMS Titanic. The bulk modulus of lead is one-fourth that of gold. Find the ratio of the volume change of a solid lead bar to that of a gold bar of equal volume for the same pressure change.

A ball has a density of $0.5g/\mathrm{ml}$ and a mass of $125g$. What is the volume of the ball?

Which physical phenomenon is primarily caused by density differences within fluids?

Which of the following is an example of a medium with high $density$?

If a fixed mass of air is compressed isothermally to half its original volume, by what factor does its density increase?

Air flows through the tube shown in FIGURE P14.62 at a rate of 1200 cm³/s. Assume that air is an ideal fluid. What is the height h of mercury in the right side of the U-tube?

Given that a table tennis ball has a mass of $2.7g$ and a diameter of $40\mathrm{mm}$, what is the average density of the ball in $\mathrm{kg}/m^3$? (Assume the ball is a perfect sphere.)

Which term refers to the density of the medium's particles at the compression region of a sound wave?$\rho$

If the mass of an object remains constant but its volume increases, what would happen to the density of this object ($d=\frac{m}{V}$)?

A bell is rung in a room. What best describes the density of the air around the bell as the sound travels through it?

Two cylinders, X and Y, are made of the same material and have equal masses. Cylinder X has a density of $8g/\mathrm{cm}{3}^3$ and cylinder Y has a density of $4g/\mathrm{cm}{3}^3$. Which best compares the volumes of cylinder X and cylinder Y?

If an object has a mass of $m$ and a volume of $V$, and assuming a constant density, what is the correct formula for its density $\rho$?