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 x 10°m kg/m3 (b) Calculate the free-fall acceleration at its surface. m/s2 (c) Calculate the gravitational potential energy of a 4.00 kg object at its surface. (Take U, = 0 at infinity.)
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 x 10°m kg/m3 (b) Calculate the free-fall acceleration at its surface. m/s2 (c) Calculate the gravitational potential energy of a 4.00 kg object at its surface. (Take U, = 0 at infinity.)
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Transcribed Image Text:**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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