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A solid sphere of radius 5 cm floats in water.If a maximun load of 0.1 kg can be put on it without wetting the load, find the specific gravity of the material of the sphere??? 10 years ago

Considering the equilibrium state after the load is put in the water.

We can say that

Mg (M is the mass of the sphere) + mg (m is the mass of the load)= F(buoyancy)

Mg (M is the mass of the sphere) + mg (m is the mass of the load)= Vpg (V  is the part of the system under water=Volume of Sphere)

M+m= Vp

M/V(density of sphere) = (p-m/V)

Specific gravity = M/pV= 1-m/pV

m= 0.1

V=4/3pi(5*10-2)3

p=103(density of water)

So value of specific gravity can be found