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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 cylinder with cross-section area floats with its long axis vertical in a liquid of density .
a. Pressing down on the cylinder pushes it deeper into the liquid. Find an expression for the force needed to push the cylinder distance deeper into the liquid and hold it there.
b. A -diameter cylinder floats in water. How much work must be done to push the cylinder deeper into the water?
A 70 kg mountain climber dangling in a crevasse stretches a 50-m-long, 1.0-cm-diameter rope by 8.0 cm. What is Young’s modulus for the rope?
An aquarium of length , width (front to back) , and depth is filled to the top with liquid of density
a. Find an expression for the force of the liquid on the bottom of the aquarium.
b. Find an expression for the force of the liquid on the front window of the aquarium.
c. Evaluate the forces for a-long, deep aquarium filled with water.
An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2000 N by turning the tuning screws. By how much is the string stretched?
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?
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