After our Sun exhausts the nuclear fuel, its ultimate fate might be to collapse to a white dwarf state, in which it has around the same mass as it has now however a radius equivalent to roughly the size of the Earth's radius.
(i) Compute the average density of this white dwarf if the Sun were to collapse to a radius of 6.00 x 106m.
(ii) Compute the free-fall acceleration at the surface.
(iii) Compute the gravitational potential energy of a 2.00 kg object at its surface. (Take Ug = 0 at infinity.)