
State what is indicated by the direction of the gravitational field line at a point in a gravitational field.
A large isolated uniform sphere has mass
and radius
. Point P lies on a straight line passing through the centre of the sphere, at a variable displacement
from the centre, as shown in the figure below.
The graph below shows the variation with
of the gravitational field
at point P due to the sphere for
the values of
for which P is inside the sphere.
The magnitude of the gravitational field at the surface of the sphere is
.
Determine an expression for
in terms of
and
. Identify any other symbols that you use.
Explain why, at the surface of the sphere,
always has the opposite sign to
.