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]+ x, j! T8 q% u" X# F4 D
5 V6 S2 w% {/ e U
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]+ a' g0 k" R2 L: N5 F
* Q9 w3 G) ~3 `. r m1 b% C) Y
' @% S; z8 S" y
so far what I have done is used the equation for GPE0 I( Y* _7 L" j9 d
which is " o8 X$ f, q4 V% N2 r
U = - (G me m) / r: _5 [0 E4 e. \+ J) ?
; n3 x1 s5 _) z8 n+ [where G is 6.674e-11 Nmkg-2 [8 ?0 Z* m& t5 E4 a0 gme is the mass of the planet 5.1e24 kg & K4 S/ a. u' ?* |( w' ~6 o im is the mass of the space ship 5.9e4 kg 0 L5 {; n7 {% Y$ U- Wr 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