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]( G$ ]% u4 I) z# C- O
1 Z: i4 @5 f2 e0 R5 o; g- t6 ]
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] R( A& p' d3 h M
9 _& R0 W2 V! {* P+ Y4 { / e7 _7 A2 w3 s T% Kso far what I have done is used the equation for GPE 0 P- ` Y) m8 T3 |which is ) C% ^ ~: l% d7 I9 OU = - (G me m) / r- U3 ]! \" Q+ C, P( d* ^. N
3 v& K r7 B" G! X8 j' m5 ~" nwhere G is 6.674e-11 Nmkg-2 9 |0 U8 m0 z! W- \me is the mass of the planet 5.1e24 kg 6 h( n$ Q7 e/ d9 W6 n9 Y
m is the mass of the space ship 5.9e4 kg 5 Q# E9 g) P/ l4 P! |% o. X6 jr 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