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] 4 i. Z; w7 Y1 K5 o. ^! H3 \5 k2 ~! k* d# C3 ~* F" I- E( k
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]6 g& U. B- `3 B# e0 f) L
% A' d+ v5 L# N0 ]4 G9 h% }
6 Y9 `) ^9 r1 ]# d! b
so far what I have done is used the equation for GPE$ n4 T3 x0 I7 o6 R! _3 C
which is / ^: G* f4 [, L& ZU = - (G me m) / r 8 \1 Q$ C! V1 L; {8 p0 M8 V2 V% F' r7 e+ F% z t% g: D, A
where G is 6.674e-11 Nmkg-2( l9 l- m2 G* `5 |5 P2 ~ x. w k0 T
me is the mass of the planet 5.1e24 kg 9 W; T2 u/ I$ G' K6 U+ Zm is the mass of the space ship 5.9e4 kg 2 H4 Z" `% q' _" Pr 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