Question

Two solid spheres of same size of a certain metal are placed km contact with each other. Prove that the gravitational force acting between them KS directly proportional to the fourth poet LG the radius.

Answer 1

Explanation:

The weights of the spheres may be assumed to be concentrated at their centres.

so, F= (2R) 2G[ 34 πR 3 ρ]×[ 34πR

3ρ] = 94 (Gπ

2 ρ

2 )R

4∴F∝R

4