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Question

A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink should be (density of wood=600Kg/m3)


  1. 80 Kg

  2. 50 Kg

  3. 60 Kg

  4. 30 Kg


Solution

The correct option is A

80 Kg


Volume of log of wood V=massdensity=120600=0.2m3

Let x weight that can be put on the log of wood.

So weight of the body = (120+x)×10 N

Weight of displaced liquid = Vρg=0.2×103×10 N

The body will just sink in liquid if the weight of the body will be equal to the weight of displaced liquid.

(120+x)×10N=0.2×103×10 N
x=80kg

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