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

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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