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]7 V4 e$ j$ V8 H1 \8 r7 [' T6 _; O4 }
S# H* w% u1 z6 l2 G) \+ r[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 4 c( U' m$ H- z( q o% Y. ]6 j
% `% G1 V m& j& Pso far what I have done is used the equation for GPE & E6 _$ d8 t- Q- n3 H: wwhich is ( p$ M5 G1 U: A5 y- WU = - (G me m) / r: G7 i1 {! S R* C, F
' N+ m# S4 |! ~! S6 T
where G is 6.674e-11 Nmkg-2 7 X% W9 m1 o7 Z. ^! x0 Mme is the mass of the planet 5.1e24 kg ( P+ Y }3 `+ t0 c+ ^/ J
m is the mass of the space ship 5.9e4 kg # O' i$ I) z! q% }4 n' p
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