Worksheet: Density and Pressure
In this worksheet, we will practice calculating the density of materials and finding the pressure at a given depth in a liquid of a given density.
The density of water at a temperature of is 999.84 kg/m3, whereas the density of ice at is 917 kg/m3. What pressure would need to be applied to water in a container by the container walls to prevent the water from expanding as it froze? Use a value of 2.20 GPa for the bulk modulus of water. Neglect the temperature changes that would result from this pressure.
- A Pa
- B Pa
- C Pa
- D Pa
- E Pa
What is the density of 18.0-karat gold that is a mixture of 18 parts gold, 5 parts silver, and 1 part copper? (These values are parts by mass, not volume.) Assume that this is a simple mixture having an average density equal to the weighted densities of its constituents.
Density of gold is 19.3 g/cm3.
Density of silver is 10.5 g/cm3.
Density of copper is 8.92 g/cm3.
A person hits a tennis ball with a mass of 0.058 kg against a wall. The average component of the ball’s velocity perpendicular to the wall is 11 m/s, and the ball hits the wall every 2.1 s on average, rebounding with the opposite perpendicular velocity component.
What is the average force exerted on the wall?
If the part of the wall the person hits has an area of 3.0 m2, what is the average pressure on that area?