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]3 u% y4 q6 M+ U1 t) x4 e1 K
. p- g9 q! G+ N" H' L5 O q
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]/ V/ `4 r) M2 q0 Y( ~+ u+ N
" S% k* _0 A% {4 g2 O% i; c0 `% i& T! b0 u- J
so far what I have done is used the equation for GPE* Y6 g1 U4 s& [# Q/ n% Y5 n
which is $ t0 X2 }* A1 P5 D- k3 R
U = - (G me m) / r) f: e6 \( ?$ L+ Y1 v
1 n+ t- m M$ Q1 y: vwhere G is 6.674e-11 Nmkg-2 . R) P3 S; Z! A5 O- \6 ume is the mass of the planet 5.1e24 kg & S; N( Q) V1 L# f; Y# O
m is the mass of the space ship 5.9e4 kg 0 J7 u/ S+ Z& ~* D! g7 \; yr 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