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 going to be

80 kg.

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100 kg

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150 kg

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200 kg

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Solution

The correct option is B 100 kg
Here, mass $m = 100 k g$ ,
density $ρ = 500 k g m^{- 3}$
Volume of the body, $V = \frac{m}{ρ}$

$= \frac{100}{500} = 0.2 m^{3}$
Weight of water displaced
$= V ρ g$
$= 0.2 \times 10^{3} \times g$
$= 200 g k g w t$
Mass of water displaced $= 200 k g$
$∴$ the additional mass which can be added to body, so that body can sink
$= 200 - 100 = 100 k g$

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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 going to be

The correct option is B 100 kgHere, mass m=100kg, density ρ=500kgm−3Volume of the body, V=mρ =100500=0.2m3Weight of water displaced =Vρg=0.2×103×g=200gkgwtMass of water displaced =200kg∴ the additional mass which can be added to body, so that body can sink =200−100=100kg

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 going to be