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 inside and at the centre of hollow spherical shell is zero and on the surface is F0 The gravitational force between hollow shell and point mass is F0=r2GMm Where M is the mass of the hollow spherical shell, and m is the mass of point mass. here r is the distance between the point mass m and center of the shell. the mass is distributed on the surface of the sphere , then F0=0 for 0<r<R(R is the distance from the centre to the surface of the shell). F0=r2GM for r>>R The variation of F versus r is shown in the diagram. force is maximum at the surface of the shell and (r=R) it is zero if r tends to infinity.
