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] 7 Q" }0 A$ a7 Z9 m/ l% s* M r3 m; C; I- O. o" t- H
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] O* r" |4 k& c/ k, K2 B1 u
7 d( J; T* Q4 d4 r2 o
$ }$ Z3 H J) T% {% \4 g
so far what I have done is used the equation for GPE( F8 d- ^$ t2 T# G1 }4 f
which is 7 D1 a- n& w7 Y" ~3 d& R; t
U = - (G me m) / r $ M. g9 B/ F0 w% k6 q, N6 X; ^ ) I+ J& p" z0 W9 v2 rwhere G is 6.674e-11 Nmkg-2. \; j2 A; {5 R# Z8 t1 P
me is the mass of the planet 5.1e24 kg ( a& b1 Y& C6 [( `
m is the mass of the space ship 5.9e4 kg & f7 \3 O: z& x0 `2 I4 l5 Ir 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