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] ; m; Z5 ?0 p( S9 V6 W; G1 B* f8 @' F5 d7 V6 q% ~& t. Q
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 7 N8 I" x+ w" [! [6 ~# [% T$ v: t( H9 A5 b, V9 b
$ D0 E5 X: E* R# ?7 Y. P# m
so far what I have done is used the equation for GPE / e3 F5 ~4 m& W! u: F7 T: L- Iwhich is : L% Q- `# T9 v+ |; VU = - (G me m) / r - ]( M+ i. Q& N d2 Z& q; C0 v( S) t6 j: B$ y
where G is 6.674e-11 Nmkg-2. n, T! r8 r5 y
me is the mass of the planet 5.1e24 kg 1 G+ w* ?4 q- V" Z- q+ }. x
m is the mass of the space ship 5.9e4 kg 8 p% L3 s. i) b- z# 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