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A young boy at summer camp stands on a wooden raft (ρw = 700 kg/m3 ) floating in a freshwater lake (ρ = 1000 kg/m3 ) and finds that his weight just cancels the buoyancy of the raft; the water touches...

A young boy at summer camp stands on a wooden raft (ρw = 700 kg/m3 ) floating in a freshwater lake (ρ = 1000 kg/m3 ) and finds that his weight just cancels the buoyancy of the raft; the water touches the soles of his feet but the raft doesn’t sink. He then jumps onto rectangular block of Styrofoam (ρs = 50 kg/m3 ). The Styrofoam has 1/3 the volume of the wooden raft, but now the top of the Styrofoam block sits 3 cm above the waterline with the boy standing on top. (a) How many centimetres of the Styrofoam block sit below the water?, and (b) How thin can the Styrofoam block be until it just supports the weight of the boy?

a) I got 57.

Would anyone explain b) to me please

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Answer #1

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