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  4. A raft of wood of mass 120 kg float. in water. The weight that can be put on the raft to make it just sink, should be (draft=600kg/m3):

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Q. A raft of wood of mass 120 kg float. in water. The weight that can be put on the raft to make it just sink, should be $ ({{d}_{raft}}=600kg/{{m}^{3}}): $

MGIMS WardhaMGIMS Wardha 2004

Solution:

Volume of raft is given by $ V=\frac{m}{d}=\frac{120}{600}=0.2\,{{m}^{3}} $ If the raft is immersed fully in water, Then weight of water displaced is $ =V{{d}_{water}} $ $ =0.2\times {{10}^{3}}=200\,kg $ Hence, the additional weight which can be put on the raft $ =200kg-120kg=80kg $