Problem

3. Will a 120kg raft of density 700 kg/m3 hold a 60kg person above water? Show all your work.

Answer

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Answer

Fbuoyancy=ρwater×Vrafted×g=1000×0.1714×9.81=1113.49  kg

Steps

Step 1 :V=mρ=120700=0.1714 m3

Step 2 :Araft=Vh=0.17140.1=1.714 m2

Step 3 :mtotal=120+60=180 kg

Step 4 :Fbuoyancy=ρwater×Vrafted×g=1000×0.1714×9.81=1113.49  kg

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