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] & b% Z! m: n) X9 R4 g) i' |# ] ' k4 |) n7 j# W[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]4 u/ _1 u) X' v, [) W, ~
0 E8 f6 f6 W+ G
8 J7 E8 `- P8 R3 Y3 {
so far what I have done is used the equation for GPE7 i# ~& }2 D$ x& G
which is ( l& n. ~* m- ^( I ?* SU = - (G me m) / r1 m2 ^ e: W2 O7 k5 O4 i5 S4 b
! p \7 q* ^2 X7 q. G
where G is 6.674e-11 Nmkg-2. k* P; p- n# R( Y
me is the mass of the planet 5.1e24 kg ' _5 Y) r! v+ J( \
m is the mass of the space ship 5.9e4 kg 1 L" I3 U$ Z# F# C4 O
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