Show that in the case described by the question 4 the point mass \(m\) inside the sphere feels no gravitational force from the spherical shell.

Question 4

Show that if you have a mass \(M\) distributed of on a spherical shell, and a point mass \(m\) lies inside from the sphere, the gravitational potential energy is \(V=-G \frac{m M}{R}\), that is, constant and not dependent on the position of \(m\).