After our Sun exhausts its nuclear fuel, its final fate might be to fall down 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 radius of Earth.
(i) Compute the average density of the white dwarf when 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. (Use Ug = 0 at infinity.)