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] $ Z1 o" z7 e: d t ) I& X z! O3 U2 w2 l5 G[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]+ w) {- P8 d8 Q s3 \
$ P: J0 D/ X5 t( R2 [0 J+ H; P7 }. M
so far what I have done is used the equation for GPE * J% x) p' Y/ y' J" k& S- v$ Gwhich is 0 S4 ~# `; _- m- r8 U& G' c3 ]. x
U = - (G me m) / r 4 p) Q7 A0 S ~% l, T" Q8 Z1 b - q$ j- e* ?2 Bwhere G is 6.674e-11 Nmkg-21 I7 O' j; K, e( }+ ]$ T
me is the mass of the planet 5.1e24 kg 2 U7 n/ I) v1 @ i' j+ p+ Jm is the mass of the space ship 5.9e4 kg 3 H/ b: Z2 G9 K; Q( D
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