After the Sun exhausts its nuclear fuel, its ultimate fate will be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. (a) Calculate the average density of the white dwarf (in kg/m³). 1.837e9 ✓ kg/m³ (b) Calculate the surface free-fall acceleration (in m/s²). 3.269e6 ✓ m/s² (c) Calculate the gravitational potential energy (in J) associated with a 4.75 kg object at the surface of the white dwarf. J (d) What If? The escape speed from the "surface" of the Sun, or a distance equal to its radius, is 617.5 km/s. What would be the escape speed (in km/s) from the surface of the white dwarf? km/s

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After the Sun exhausts its nuclear fuel, its ultimate fate will be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth.

(a) Calculate the average density of the white dwarf (in kg/m³).

- Answer: \(1.837 \times 10^9 \, \text{kg/m}^3\)

(b) Calculate the surface free-fall acceleration (in m/s²).

- Answer: \(3.269 \times 10^6 \, \text{m/s}^2\)

(c) Calculate the gravitational potential energy (in J) associated with a 4.75 kg object at the surface of the white dwarf.

- Question requires an answer (not given)

(d) **What If?** The escape speed from the "surface" of the Sun, or a distance equal to its radius, is 617.5 km/s. What would be the escape speed (in km/s) from the surface of the white dwarf?

- Question requires an answer (not given)
Transcribed Image Text:After the Sun exhausts its nuclear fuel, its ultimate fate will be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. (a) Calculate the average density of the white dwarf (in kg/m³). - Answer: \(1.837 \times 10^9 \, \text{kg/m}^3\) (b) Calculate the surface free-fall acceleration (in m/s²). - Answer: \(3.269 \times 10^6 \, \text{m/s}^2\) (c) Calculate the gravitational potential energy (in J) associated with a 4.75 kg object at the surface of the white dwarf. - Question requires an answer (not given) (d) **What If?** The escape speed from the "surface" of the Sun, or a distance equal to its radius, is 617.5 km/s. What would be the escape speed (in km/s) from the surface of the white dwarf? - Question requires an answer (not given)
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