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 = 600 Kg/m 3 )
Text Solution
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Volume of log of wood $V = \frac{\text{mass}}{\text{density}} = \frac{120}{600}$ =0.2 m 3
Let x weight that can be put on the log of wood.
So weight of the body = $(120 + x) \times 10 \, \mathrm{N}$
Weight of displaced liquid = $V \sigma g = 0.2 \times 10^{3} \times 10 \, \mathrm{N}$
The body will just sink in liquid if the weight of the body will be equal to the weight of displaced liquid.
∴ ∴ $(120 + x) \times 10 = 0.2 \times 10^{3} \times 10$
$\Rightarrow \quad 120 + x = 200$ ∴ ∴ x = 80 kg
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