Problem

A tourist of mass 60.0 kg notices a chest with a short chain attached to it at the bottom...

A tourist of mass 60.0 kg notices a chest with a short chain attached to it at the bottom of the ocean. Imagining the riches it could contain, he decides to dive for the chest. He inhales fully, thus setting his average body density to 945 kg/m3, jumps into the ocean (with saltwater density = 1020 kg/m3), grabs the chain, and tries to pull the chest to the surface. Unfortunately, the chest is too heavy and will not  move. Assume that the man does not touch the bottom,

a) Draw the man's free-body diagram, and determine the tension on the chain.


b) What mass (in kg) has a weight that is equivalent to the tension force in part (a)?


c) After realizing he cannot free the chest, the tourist releases the chain. What is his upward acceleration (assuming that he simply allows the buoyant force to lift him up to the surface)?

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