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

Question

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 (A) 80 kg (B) 100 kg (C) 150 kg (D) 200 kg

Tardigrade Admin · Accepted Answer

Here, mass m = 100 kg, density ρ=500 kg m-3 Volume of the body, V=(m/ρ)=(100/500)=0.2 m3 Weight of water displaced =Vρ g =0.2×103× g=200 g kg wt Mass of water displaced = 200 kg ∴ the additional mass which can be added to'body, so that body can sink =200-100=100 kg

Q. A body of mass $100 k g$ and density $500 k g m^{- 3}$ floats in water. The additional mass should be added to the body so that the body will sink is

$80 k g$

$100 k g$

$150 k g$

$200 k g$

Q. A body of mass 100kg and density 500kgm−3 floats in water. The additional mass should be added to the body so that the body will sink is

80kg

100kg

150kg

200kg

Here, mass m=100kg, density ρ=500kgm−3 Volume of the body, V=ρm​=500100​=0.2m3 Weight of water displaced =Vρg =0.2×103×g=200gkgwt Mass of water displaced =200kg ∴ the additional mass which can be added to'body, so that body can sink =200−100=100kg

Q. A body of mass $100 k g$ and density $500 k g m^{- 3}$ floats in water. The additional mass should be added to the body so that the body will sink is

$80 k g$

$100 k g$

$150 k g$

$200 k g$