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] + H9 H. k$ p, ~: D# j : e' F7 | c1 L9 J% Z[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]$ B! u7 k8 N [6 Q. {% R3 o: {7 @
3 o# k( G5 h) N: S7 V 8 E" o% c4 z0 u0 i2 @7 f3 bso far what I have done is used the equation for GPE! p# Q2 O: T& g7 x+ R. l* P
which is 7 b- I' }6 ^8 h, y
U = - (G me m) / r ' f7 c/ b: a; t" o+ l7 C& H) T O1 E" F' q
where G is 6.674e-11 Nmkg-2. v2 x: A7 }7 ?) x/ L9 X) Q
me is the mass of the planet 5.1e24 kg 7 \2 u. r# ^( @9 em is the mass of the space ship 5.9e4 kg ! N x. R: \' W0 F9 c
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