First slide

Pressure in a fluid-mechanical properties of fluids

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 = 600 Kg/m³)

Moderate

A

80 Kg
B

50 Kg
C

60 Kg
D

30 Kg

Solution

Volume of log of wood $V = \frac{mass}{density} = \frac{120}{600}$ =0.2 m³
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 = $V σ g = 0.2 \times 10^{3} \times 10 N$
The body will just sink in liquid if the weight of the body will be equal to the weight of displaced liquid.
$\begin{array}{l} ∴ (120 + x) \times 10 = 0.2 \times 10^{3} \times 10 \\ \Rightarrow 120 + x = 200 ∴ x = 80 kg \end{array}$

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