Question

a solid of density 5000 kg/m3 weighs 0.5 kgf in air. If it floats in a liquid of density 8000 kg/m3 , what is its apparent weight ?

Answer 1

Density of solid, d = 5000 kg/m3

Weight in air, W = 0.5 kgf = 0.5g N

Density of water, q = 1000 kg/m3

Let, V be the volume of the solid.

So, W = Vdg

=> 0.5g = V × 5000 × g

=> V = 10-4 m-3

So, Buoyant force is, B = Vqg = 10-4 × 1000 × g = 0.1 g N = 0.1 kgf