First slide

Fluid statics

Question

A body of mass 120 kg and density 600 kg/m³ floats in water. What additional mass could be added to the body so that the body will just sink?

Moderate

A

20 kg
B

80 kg
C

100 kg
D

120 kg

Solution

Volume of the body $= \frac{120}{600} = 0.2 m^{3}$
Mass of water displaced $= V \times ρ_{w} = 0.2 \times 10^{3} = 200 kg$
So additional mass $= 200 - 120 = 80 kg$

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