﻿ The dimensions of the base of a boat are 3.3mx2.2m. When the man gets on to the boat, the boat sinks by 1 cm. What is the mass of the man? from Physics Mechanical Properties of Fluids Class 11 Manipur Board

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Mechanical Properties of Fluids

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The dimensions of the base of a boat are 3.3mx2.2m. When the man gets on to the boat, the boat sinks by 1 cm. What is the mass of the man?

The dimensions of the base of a boat are 3.3 m $×$2.2 m

The boat sinks by 1 cm, therefore volume of water displaced when man gets on the boat is,

V = 3.3 x 2.2 x 0.01

= 72.6 x 10-3  m

Mass of water displaced = 72.6 x 10-3 x 1000 = 72.6  kg

The man is in a floating state int he boat.

Therefore,

Mass of man = Mass of water displaced
= 72.6 kg.
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