Two solid spheres of same radius (R) and of same material are placed in such a way that their centres - Science - Gravitation

Question

Two solid spheres of same radius (R) and of same material are
placed in such a way that their centres are 2R apart The
gravitational force between them is directly proportional to :

Dinesh Pandey · Accepted Answer

Dear Student,

If ρ is the density of material of each sphere, thenthe mass of sphere of radius R, m1=4π3R3ρand the mass of sphere of radius 2R, m2=4π32R3ρDistance between their centres, d=R+2R=3RF=Gm1m2d2F=G×4π3R3ρ×4π32R3ρ3R2F=G×32π2ρ227×R4F α R4

Two solid spheres of same radius (R) and of same material are placed in such a way that their centres are 2R apart. The gravitational force between them is directly proportional to :