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A space craft of mass 5.9×104 kg is in orbit around a planet of 5.1×1024 kg. If the planet can be assumed to be a uniform sphere of radius 5.4×106 m and the space ship is orbit a height of 6.9×105 m above the surface what is the gravitational potential energy of the ship? [G=6.674×10-11 Nm2kg-2]
5 m' g s, Q) D8 E
7 A- M# h/ u& @$ g2 Q[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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: U% S/ L: j, V- K, P# {8 k) L2 e a' }
so far what I have done is used the equation for GPE% ~7 m8 F* Z2 S x( N, n* l' k2 M
which is 2 |" f/ Z9 Z( O
U = - (G me m) / r1 D% \* ?* q* p5 f
3 ~4 |4 w* d% f, L0 z5 Y7 }" ywhere G is 6.674e-11 Nmkg-2' U' C+ c9 V% s
me is the mass of the planet 5.1e24 kg
# B& {8 c" ]7 y8 hm is the mass of the space ship 5.9e4 kg
5 e# [; l5 `3 Vr is (i think) the radius of the planet (5.4e4 m) added to the height of the space ship is above the planet (6.9e5 m) and then divided it into G me m |
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