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] 2 _8 ^5 I& H0 t7 t" I% X% p6 k 6 k0 [5 ^7 w4 N i* o4 y[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] + A4 R! O" z1 q* u* N+ ?9 c * Q: b! H7 X" K! G/ C% w ! `4 L+ n) _5 g$ k( K# f$ ^; uso far what I have done is used the equation for GPE5 g y$ [$ t, e' w
which is * i4 h" r' y$ Z
U = - (G me m) / r. L/ i9 P, {2 D' H1 n
3 }) S1 M. W* d; f' {where G is 6.674e-11 Nmkg-2% _$ r& I6 e9 R* Q) o
me is the mass of the planet 5.1e24 kg $ ^! Q. @' o6 `2 a( H' D: t: zm is the mass of the space ship 5.9e4 kg 7 i; |* l: N6 S+ C3 R9 Fr 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