
The Sun may be considered as a uniform sphere with a mass of
and a surface temperature of
. A probe with a mass of
moves in a straight line towards the Sun. When it is at a distance
from the centre of the Sun, the probe measures the gravitational field strength
due to the Sun and the radiant flux intensity
of radiation from the Sun. For the position of the probe where
:
calculate 
determine the gravitational potential energy
of the probe.