A 120kg astronaut stands on the surface of an asteroid of radius 600m. The astrunaut leaves the surface with 15J of kinetic energy and reaches a maximum height of 300m above the surface. What is the mass of the asteroid? (Answer: 3.4*10(adsbygoogle = window.adsbygoogle || []).push({}); ^{12}kg)

At the maximum height, all of the kinetic energy becomes potential gravitational energy.

E_{K}= E_{pg}

15 = Gmm'/r

15 = 6.67*10^{-11}*120*m'/(300+600)

1.7*10^{12}kg = m'

I think there's an error in the calculation somewhere because my answer is exactly half the correct answer but I can't figure out what I'm doing wrong.

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# Gravitational Potential Energy of astronaut

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