Question

A body of mass 120 kg and density 600kg/m^3 floats in water . what additional mass could be added to the body so that it will just sink ?

Answer 1

The mass of the 200 kg can be added.

Explanation:

Let 'm' be the maximum mass that can to be added to the body such that the body does not sink:

We know that:

Weight of the water displaced = Weight of body + Maximum mass that can be added

ρ w Vg =  Mg

ρ w V = M

ρ w = 1000 Kg / m^3

V = 120 / 600 = 0.2 m^3

Substituting the values we get.

1000 x 0.2 = 120 + m

m = 200 - 120 = 80 Kg

Thus the mass of the 200 kg can be added.

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Answer 2

Answer:

A body of mass 120 kg and density 600 kg/m3 floats in water. The additional mass to be added to the body so that the body does not sink is