Answer to Question #82602 in Physics for Cartoon

Question

A sphere of radius 2 cm is floating with half of it submerged in water. Determine the density of the sphere.

Answer 1

The equilibrium condition

mg=gρ_water V_disp

So

m=ρ_water V/2

Since the sphere mass

m=ρ_body V

we obtain

ρ_body=ρ_water/2=(1000 kg/m^3)/2=500 kg/m^3