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] 7 U4 ?% B9 l# z. \/ P0 V" Z8 f2 L! X. E e; v# d2 O
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 5 |+ G% J' ^. L4 n6 p7 ?/ M( s7 E* Q+ V* [
: O3 ^4 s; S v2 d9 Q- Aso far what I have done is used the equation for GPE( J* K7 y/ E. Z; i+ s
which is 0 ?- m2 w9 a* s: T7 |" I" g$ i5 d
U = - (G me m) / r5 w/ f6 J4 @4 R$ V* j* y4 a" _
% u: h! @* |# C8 o2 k9 o# I
where G is 6.674e-11 Nmkg-2 6 E6 n/ A- Z( N9 F: ?0 Tme is the mass of the planet 5.1e24 kg 7 p) u1 q9 T& pm is the mass of the space ship 5.9e4 kg ! t, y! G* ~- A: V, gr 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