First slide

Fluid statics

Question

A boat having a length of 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is (density of water = 1000 kg/ $m^{3}$ )

Easy

A

60 kg
B

62 kg
C

12 kg
D

128 kg

Solution

Weight of the man should be equal to extra buoyancy force created.
mg = V $ρ$ g
$\Rightarrow mg = (2 \times 3 \times \frac{1}{100}) 1000 g$
$\Rightarrow m = 60 kg$

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