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Q.
A body of mass $100\, kg$ and density $500 \,kg\, m^{-3}$ floats in water. The additional mass should be added to the body so that the body will sink is
Mechanical Properties of Fluids
Solution:
Here, mass $m = 100\, kg$, density $\rho=500 \,kg\,m^{-3}$
Volume of the body, $V=\frac{m}{\rho}=\frac{100}{500}=0.2 \, m^{3}$
Weight of water displaced $=V\rho g$
$=0.2\times10^{3}\times g=200\,g\,kg wt$
Mass of water displaced $= 200\, kg$
$\therefore $ the additional mass which can be added to'body, so
that body can sink $=200-100=100 \, kg$