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] / e2 J2 t$ c! F6 [ U& V( |0 c7 @! u) S8 [8 C
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 0 ?6 B# o% X! c+ K6 x" O' m9 q! r0 ~ N' K& a+ a n6 a
3 O' R; Q ~0 G/ f8 U7 h% r8 ?* K5 _so far what I have done is used the equation for GPE! a4 p2 D6 s) o$ o
which is 7 E- c5 |% U) }' X
U = - (G me m) / r0 M; l* R1 v5 z( y) W8 N& @
5 T/ G5 E& b7 |! r% awhere G is 6.674e-11 Nmkg-2! L/ O3 n' c! U# @7 A& e5 s
me is the mass of the planet 5.1e24 kg 1 R6 N0 G- q5 q3 n0 C9 |m is the mass of the space ship 5.9e4 kg % w1 j* q1 Z* P. L$ Q" @1 `( b& Cr 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