Solveeit Logo
Login

Question

Question: A body of mass 100 kg and density \(500 \mathrm {~kg} \mathrm {~m} ^ { - 3 }\) floats in water. The ...

A body of mass 100 kg and density 500 kg m−3500 \mathrm {~kg} \mathrm {~m} ^ { - 3 } floats in water. The additional mass should be added to the body so that the body will sink is

A

80 kg

B

100 kg

C

150 kg

D

200 kg

Answer

100 kg

Explanation

Solution

Here, mass m = 100 kg density of ρ=500 kg m−3\rho = 500 \mathrm {~kg} \mathrm {~m} ^ { - 3 }

Volume of the body,

Weight of water displaced

Mass of water displaced = 200 kg

∴\therefore the additional mass which can be added to body so that body can sink

=200−100=100 kg= 200 - 100 = 100 \mathrm {~kg}