Question

Two idntical spheres each of radius r are placed so that their centres are distance of 6r the gravitational force of attraction between them is proportional to

Answer 1

Mass of each sphere = Density * Volume = Density * 4/3π* r^3
Let density * 4/3 * π be a constant k
Therefore,
Mass of each sphere = kr^3

Now, force = G*M*M / 6r^2 = G (kr^3)^2 / 6r^2
= G*k^2/6 * r^4

Now, Gk^2/6 is a constant.

Therefore,
the gravitational force between the two spheres is proportional to r^4.

Answer 2

hey!!!!good morning!!

the gravitational force between the two spheres is proportional to r^4.