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] 6 ?: H! ]/ `. c3 C" h Y 9 e+ y! B$ q% v q$ X[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]) Y( Y5 w3 D+ P
6 J* M; l, z2 L" G+ n9 @+ b5 s+ f
so far what I have done is used the equation for GPE2 k( J: m. v5 C
which is 8 s) V+ D6 g" ~7 U
U = - (G me m) / r " x8 O% {& m# P- ` 0 W+ c6 F7 v! `/ F3 B: Pwhere G is 6.674e-11 Nmkg-2" i& [% ^' R* Q# ^
me is the mass of the planet 5.1e24 kg # W6 q9 H( Y( C) F8 U' ym is the mass of the space ship 5.9e4 kg 4 S* m: A. j9 w3 I
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