The gravitational force between a hollow spherical shell and a point mass is F. Show the nature of F vs r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.
The gravitational force between a hollow spherical shell and a point mass is F. Show the nature of F vs r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.

R is the spherical shell’s radius, while r is the distance between m and M. The point’s mass is m, while the hollow spherical shell’s mass is M. Now,

F=\frac{GMm}{r^{2}}

When F = 0,

F=\frac{GM}{r^{2}} for r ≥ R

The graph below depicts the fluctuation of F versus r such that when force is greatest, r approaches infinity.