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]; y# V$ k r' c* q: m/ R1 s
6 R9 I7 ?7 ?" c* j4 m& a
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] ! K% a( r# N5 ?" o3 S% S: L0 q% k" G
1 s/ I3 ]1 v3 m: t7 H1 w( h3 X% {so far what I have done is used the equation for GPE " g# a0 @7 T. K/ {/ Z2 K1 Twhich is 4 P2 v0 l- A: G7 n& g# h( c3 L( XU = - (G me m) / r- S$ g0 B" O( F* f' D0 f) A
# i" ?; z3 U. O6 x& n( v; h$ s
where G is 6.674e-11 Nmkg-2 9 y! L' J# U/ z& n1 rme is the mass of the planet 5.1e24 kg . i0 f- P# S) j$ f2 `- I7 z
m is the mass of the space ship 5.9e4 kg 5 F- `9 L+ S- ?: B
r 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