Chapter 14: Q.4 (page 383)
A 6.0 m * 12.0 m swimming pool slopes linearly from a 1.0 m depth at one end to a 3.0 m depth at the other. What is the mass of water in the pool?
Mass of water in the pool is 1.44 x 105 kg.
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A less-dense liquid of density floats on top of a more-dense liquid of density . A uniform cylinder of length and density , with , floats at the interface with its long axis vertical. What fraction of the length is in the more-dense liquid?
One day when you come into physics lab you find several plastic hemispheres floating like boats in a tank of fresh water. Each lab group is challenged to determine the heaviest rock that can be placed in the bottom of a plastic boat without sinking it. You get one try. Sinking the boat gets you no points, and the maximum number of points goes to the group that can place the heaviest rock without sinking. You begin by measuring one of the hemispheres, finding that it has a mass and a diameter of . What is the mass of the heaviest rock that, in perfectly still water, won't sink the plastic boat?
The two --diameter cylinders in FIGURE , closed at one end, open at the other, are joined to form a single cylinder, then the air inside is removed.
A. How much force does the atmosphere exert on the flat end of each cylinder?
B. Suppose one cylinder is bolted to a sturdy ceiling. How many football players would need to hang from the lower cylinder to pull the two cylinders apart?
A large 10,000 L aquarium is supported by four wood posts (Douglas fir) at the corners. Each post has a square 4.0 cm * 4.0 cm cross-section and is 80 cm tall. By how much is each post compressed by the weight of the aquarium?
Cylinders A and B have equal heights. Cylinder A is filled with helium gas at 1.0 atm pressure and 0o C. The diameter of cylinder B is half that of cylinder A, and cylinder B is filled with glycerin. What is the ratio of the fluid mass in cylinder B to that in cylinder A?
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