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 {+ c8 l2 D% Y: R # C3 h" A. v+ ^[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]8 ^3 R1 m! G- z) g, ^
8 [: R9 h& ?* b/ z# a7 r3 d% ^+ J: z
so far what I have done is used the equation for GPE 3 N/ Z3 `$ Z& [ Pwhich is 1 V3 P( y3 p+ q
U = - (G me m) / r; L3 K/ e5 y0 n4 r& c
+ J! K: t a8 O" K/ X5 Cwhere G is 6.674e-11 Nmkg-2 ) B. I7 I) Q- n8 W" Lme is the mass of the planet 5.1e24 kg , i/ u: v7 `0 j2 hm is the mass of the space ship 5.9e4 kg * r2 n3 l0 ~7 @1 |' `% h
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