Calculate the depth of water, Mechanical Engineering

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(Buoyancy of a submerged body; compressibility of air)

A grade 4 science student inverts a cup full of air into a water tank. If it takes 1 lb of force to hold the cup down 3 inches below the surface, how much force does it take to hold the cup down at a depth of 5 feet?

Assume (1) the cup has negligible weight, (2) the temperature of the air is always the same as the surrounding water temperature.

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