A log of wood of mass 120 Kg floats in water. The weight that can be put on the

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)

Options:

A . 80 Kg

B . 50 Kg

C . 60 Kg

D . 30 Kg

Answer: Option A
:
A
Volume of log of wood

V = \frac{m a s s}{d e n s i t y} = \frac{120}{600} = 0.2 m^{3}

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

(120 + x) \times 10 N

Weight of displaced liquid =

V ρ g = 0.2 \times 10^{3} \times 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) \times 10 N = 0.2 \times 10^{3} \times 10 N

\Rightarrow x = 80 k g

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