1. The mass density of an object is 13.8 g/cc, and its volume is determined to be 33.2 cc. What is the mass of the object?
2. The mass density of an object is 12.0 g/cc, and its mass is determined to be 162 g. What is the volume of the object?
3. The mass of an object is 300 g, and its volume is determined to be 60 cc. What is the mass density of the object?
4. The SI units of mass density are kg/m3, but there are several other common units. One of the most commonly used units of mass density is gram per cubic centimeter, or g/cc. This is because pure water has a mass density of 1 g/cc. It turns out that 1 mL of liquid is equal to 1 cc of volume. So it is also possible to express the mass density of water as 1 g/mL. This makes water a useful tool since it is possible to use graduated cylinders to measure volumes.
An object with a mass of 76.0 g displaces 267.5 ml of water when it is completely immersed. What is the buoyant force on the mass? (Useg = 9.8 N/kgas necessary.)
5. The water in the plumbing in a house is at a gauge pressure of 240,000 Pa. What force does this cause on the top of the tank inside a water heater if the area of the top is 0.7 m2? (Ignore atmospheric pressure.)
6. A viewing window on the side of a large tank at a public aquarium measures 54 in. by 59 in. The average gauge pressure from the water is 5 psi. What is the total outward force on the window?
7. A small statue is recovered in an archaeological dig. Its weight is measured to be 5.3lb and its volume 0.07 ft3.
a. Whit is the statue's weight density?
b. What substance is it, most likely? Iron, ebony wood, juniper wood, lead, diamond.
8. A certain part of an aircraft engine has a volume of 2.1 ft3.
a. Find the weight of the piece when it is made of copper.
b. If the same piece is made of aluminum, what is its weight?
c. Determine how much weight is saved by using aluminum instead of copper.
9. The depth of the Pacific Ocean in the Mariana Trench is 36,198 ft. What is the gauge pressure at this depth?
10. A storage tank 23 m high is filled with pure water. (Assume the tank is open and exposed to the atmosphere at the top.)
a. Find the gauge pressure at the bottom of the tank.
b. Calculate the magnitude of the force produced by the fluid that acts on a square access hatch at the bottom of the tank that measures 0.6 m by 0.6 m.
11. A modern-day zeppelin holds 7,460 m3 of helium. Compute its maximum payload at sea level. (Assume the helium and air to be at 0°C and 1 atm.)
12. A juniper-wood plank measuring 0.16ft by 1 ft by 14ft is totally submerged in water.
a. What is its weight?
b. What is the buoyant force acting on it?
c. What is the size and the direction of the net force on it?
i. SIZE?
ii. Direction IE: upward or downward?
13. A rectangular block of ice with dimensions 2 m by 2 m by 0.2 m floats on water. A person weighing 975 N wants to stand on the ice. Would the ice sink below the surface of the water?Yes or No?
14. The wing of an airplane has an average cross-sectional area of 14 m2 and experiences a lift force of 89,000 N. What is the average difference in the air pressure (in N/m^2)between the top and bottom of the wing?