Question

a boat having length 3 m and breadth 2 m is floting on a lake . if the boat sinks by 1 centimetre when a man gets on it what will be the weight of the man​

Answer 1

The weight of man will be equal to the weighat of water of equal volume of water displaced by the boat while sinking.

volume of the watar = volume of boat sunk in the water

volume of water = v = 3 x 2 x 0.01 = 0.06 m³

density of water = ρ₀ = 1000 kg/m³

so weight of man = w = weight of the water of volume v  = ρ₀vg

⇒ w = 1000 x 0.06 x 9.81 = 588.6N  or 60 KG.

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