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] : C C/ T9 w: @' e( F: E j8 M% ~5 V: E) S0 T[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 5 {0 v5 }$ d& g- s$ h) n# p, ?" v6 h$ n
. y# t+ x& y K. Y4 E" ]so far what I have done is used the equation for GPE 9 q9 P0 g! c) H1 ]; O4 Qwhich is 8 ]" X$ _5 a$ J/ y' W6 AU = - (G me m) / r 3 r8 \3 W$ d& o* u& H* a! [) n5 p0 E5 p9 P- m
where G is 6.674e-11 Nmkg-2 8 W" w) |% c; j+ j( @0 ~me is the mass of the planet 5.1e24 kg 1 N. U/ Z# T/ x- {/ `
m is the mass of the space ship 5.9e4 kg 2 k. |+ p! X' ?) o, b: K
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