**White Dwarf Collapse of the Sun: Calculations**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 \(6.31 \times 10^6\) m.**☐ kg/m\(^3\)(b) **Calculate the free-fall acceleration at its surface.**☐ m/s\(^2\)(c) **Calculate the gravitational potential energy of a 4.00 kg object at its surface. (Take \(U_g = 0\) at infinity.)**☐ J

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