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] + M7 V& i k" W1 ^# \ 0 x% s3 ^6 ~1 g! t; i[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]0 K' e* W6 g; q
5 w) @4 v2 f3 z9 {) I& L8 V" o6 U* |* N# }" w. ?# Z7 ?
so far what I have done is used the equation for GPE& m' e6 x' K9 c) ?
which is $ m! U. ]7 G' y l- NU = - (G me m) / r 3 O. e, k& j8 G1 T2 M0 \( @ ( [6 m3 G$ O' pwhere G is 6.674e-11 Nmkg-2 6 V& E7 o2 o! Hme is the mass of the planet 5.1e24 kg 1 R6 B9 ~! S. f
m is the mass of the space ship 5.9e4 kg 4 m3 s0 j$ _# t) j7 Wr 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