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  4. A raft of wood (density 600 kg text/m3 ) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink?

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Q. A raft of wood (density 600 $ kg\text{/}{{m}^{3}} $ ) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink?

CMC MedicalCMC Medical 2007

Solution:

Volume of raft of wood $ =\frac{120}{600} $ $ =0.2\,{{m}^{3}} $ Weight of water displaced $ =0.2\times {{10}^{3}}\times g $ $ =200\,kg\,wt $ Mass of water displaced = 200 kg Hence, additional mass which can be added = 200 -120 = 80 kg