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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 6.43 106m.
______________________ kg/m3
(b) Calculate the free-fall acceleration at its surface.
______________________ m/s2
(c) Calculate the gravitational potential energy of a 1.00 kg object at its surface. (Take Ug = 0 at infinity.)
______________________ J
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