A body of mass $120 k g$ and density $600 k g / m^{3}$ floats in water. What additional mass could be added to the body so that the body will just sink?

20 k g

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80 k g

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100 k g

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120 k g

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Solution

The correct option is B $80 k g$
Weight of the water displaced= weight of body + additional mass
$ρ_{w} V g = M g$ ( $M$ is the total mass)
$ρ_{w} V = M = (100 + m) V = \frac{120}{600} = 0.2 m^{3} 1000 \times 0.2 = (120 + m) m = 80 k g$

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