
The gravitational potential
at distance
from point mass
is given by the expression

where
is the gravitational constant. Explain the significance of the negative sign in this expression.
A spherical planet may be assumed to be an isolated point mass with its mass concentrated at its centre. A small mass
is moving near to, and normal to, the surface of the planet. The mass moves away from the planet through a short distance
. State and explain why the change in gravitational potential energy
of the mass is given by the expression.

where
is the acceleration of free fall.