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After our Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state, in which it has approximately the same mass as it has now but a radius equal to roughly the size of the Earth's radius.

(a) Calculate the average density of this white dwarf if the Sun were to collapse to a radius of 6.31 106m.

(b) Calculate the free-fall acceleration at its surface.

m/s2

(c) Calculate the gravitational potential energy of a 6.00 kg object at its surface. (Take Ug = 0 at infinity.)

J

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