By Valentina Tobos | Laurentiu Tobos

Updated on Sep 27, 2011

Review these concepts at: Properties of Matter Study Guide

**Practice Questions**

- Consider two glass cylinders with diameters
*d*and*d*and the same quantity of liquid in each. How does the pressure at the bottom of the cylinders compare? Show calculations. - Consider a bathroom scale. If you step up on the scale, you are able to measure your weight converted to mass. If you lift a foot, is that going to change the final reading?
- A high-vacuum pump can pump down to 10
^{-3}mb. Express the value of this low pressure in mmHg and in SI. - A one-leg table has a mass of 25 kg, and the surface of support is a rectangle 32 cm by 24 cm. If you set the table for dinner, the mass of the table will be increased by . Find the pressure on the floor exerted by the table set for dinner.
- A hydraulic press operates at 1,500 PSI. Convert this pressure to SI units.

- A copper kitchen container has a circumference diameter of 9 inches and a height of 5 inches. Find the mass of the container if it were filled with water (
*p*= 1,000 kg/m^{3}). We will assume that the walls are so thin, the empty container has a negligible mass. - Two objects have the same mass, but the volume of the first object is larger than that of the second object. They both are cylindrical in shape and have the same size circumference. Find the ratio of the densities.
- For practice problem 7, find the ratio of the pressures that the two objects exert on the support surface if they are both cylinders of equal height.

- Calculate the pressure at the bottom of the Pacific Ocean's Marianas Trench (35,810 feet depth and 1,000 kg/m
^{3}). What can you say when you compare this with atmospheric pressure? - A swimmer plunges deeper and deeper into the water. Is the pressure he or she experiences constant or not? Explain briefly.
- The
*CRC Handbook of Chemistry and Physics*says the density of cooking oil is 0.918 glcm^{3}. If you have a glass filled half with water and half with oil, what is the liquid(s) pressure at the bottom of the glass? The glass is 220 mm tall. - For the information in practice problem 11, what is the total pressure at the top of the water layer? Consider atmospheric pressure at the top of the oil.

- Helium gas has a density of 0.18 g/l. Based on Archimedes's principle, can you determine what a helium balloon will do in air? Make sure you draw a diagram showing the forces acting on the balloon.
- A wooden board has a density of 600.0 kg/m
^{3}, and it floats in water such that only part of the board is submerged. Find the depth to which the board is submerged if it has a rectangular shape of 2.00 × 3.00 × 1.00 meters. - In a shallow pond, an aluminum fountain is placed such that . of its height is immersed in water. What is the resultant force per volume acting on the fountain? Density is 2,700 kg/m
^{3}.

- In a hydraulic press, a ratio of the radii of the pistons of r
_{1}/r_{2}= 3 will decrease by how much the force that counteracts the weight on the larger piston? Show calculations. - The diagram in Figure 10.6 shows a hydraulic press used in a car shop to lift cars. An automobile is placed on the large area of the press. The automobile has a mass of 1,540 kg and the two sides of the press have a diameter of 25 and 15 cm, respectively. In the process of raising the car, the left piston lifts 1.85 m. Find how much the right piston has dropped.

**Answers**

- 9/16
- No, the scale measures the force acting on the spring inside the scale, not the pressure.
- 7.5 · 10
^{–4}Pa and 10^{–1}Pa or N/m^{2} - 5,600 N/m
^{2} - 10.3 · 10
^{6}Pa - 5 kg
- 4/11
- 4/11
- 1.07 · 10
^{8}Pa and atmospheric pressure is about 1,000 times smaller. - Due to the increase in the height of the water column, the pressure increases, too.
- 2.1 kPa
- Is the atmospheric pressure and the oil: 1.02 · 10
^{5}Pa. - Will rise since the weight is smaller than the buoyant force
- The board is 0.6 m in water.
*F*= 19,500 N/m^{net}/V^{3}*F*_{l}/*F*_{2}= 1/9- 0.67 m

From Physics Success in 20 Minutes A Day. Copyright © 2006 by LearningExpress, LLC. All Rights Reserved.

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