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]+ D# d8 r* L7 V! a2 J7 F3 y
& l( ~) o1 H0 e6 R3 N% c2 x[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 5 j H0 q/ q4 X) Z4 L3 x% v5 Z0 x8 w% a% I
9 W0 H) |3 M$ j# c( X
so far what I have done is used the equation for GPE4 g$ K2 l! t& D- M+ k
which is + ]# ^# o q0 I, F ^U = - (G me m) / r 9 J3 |5 C$ i# \: @/ F3 n% j4 S 6 A2 N) Y; I: a8 {0 Gwhere G is 6.674e-11 Nmkg-2$ j7 L5 x$ c: B, g; c
me is the mass of the planet 5.1e24 kg * |! W6 W2 q7 nm is the mass of the space ship 5.9e4 kg - u$ C" V' Y9 T! J* H9 u7 Z
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