13 Example Problems

Note that 5 of the problems are very similar to the problems assigned - others have similarities)

 

 

Example 1     Answer

Very similar to problem 1 that was assigned

 

What is the approximate mass of air in a room that is 4 m x 5 m x 6 m?

 

 

Example 2    Answer

What is the difference in blood pressure between the top of the head and the bottom of the feet of a 1.5 m tall person standing vertically? The density of blood is 1.05 x 103 kg/m³.

 

 

Example 3   Answer

Very similar technique to problem 22 that was assigned.

 

What fraction of a piece of aluminum will be submerged when it floats in mercury?

 

 

Example 4    Answer

 A 15 cm radius air duct is used to replenish the air of a room 4 m x 5 m x 6 m every 16 min. How fast does air flow in the duct?

 

 

Example 5   Answer

Very similar to problem 7 that was assigned.

 

What is the pressure exerted on the floor of his cage by a 1000 kg monkey standing on one foot. The area of the foot is 200 cm2 (big monkey?)

 

Example 6   Answer

Very similar to problem 14 that was assigned

 

Given: a pool that is 50 m by 10 m whose depth (uniform) is 30 m.

 

a. What is the absolute pressure on the bottom of a pool that is 50 m by 10 m whose depth (uniform) is 30 m)?

 

b. What is the total force on the bottom of the pool.

                       

Example 7   Answer

Very similar to problem 38 that was assigned

Assume that a tank filled with water is 10 meters deep and 100 meters wide. Water flows from an opening (spigot) at the bottom. Both the top of the tank and the spigot at the bottom are open to the atmosphere.

How fast does water flow from the spigot?

Example 8  Answer

Assume that the air passes over the top of an airplane wing at 200 m/s and over the bottom of the wing at 125 m/s. The wing has a surface  area (each side) of 78 m².

What is the lift in newtons on the wing?

Example 9  Answer

A spherical container is anchored to the bottom of a lake by a cable. The mass of the container is 70,000 kg. Assume that the container is completely submerged  and the outside diameter is 4 m.

What is the tension in the cable?

Example 10  Answer

Describe how you would set up an experiment to verify Torricelli's Theorem.

Include the equipment needed, the data to be collected, and required calculations

Example 11  Answer

Assume that you are filling a round tank that is 6 meters in diameter. You wish to fill the tank with water to a depth of 2 meters. The velocity of water from the hose is 0.4 m/s. The hose has an inside diameter of 1 inch.

How long will it take to fill the tank?

Example 12  Answer

Given that the roof of a house is flat and has an area of 20 m². Assume that the thickness of the roof is such that there is no significant height difference between the two sides (top and bottom). Assume also that wind is blowing over the house at 30 m/s.

What is the net force on the roof?

Example 13

Describe how you would set up an experiment to verify Aristotle's Theorem.

Include the equipment needed, the data to be collected, and required calculations