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]( r9 b" X* X" ?; L! y
2 L1 ~8 _: l8 |& d* p8 C
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]+ A; `. i. W \9 f9 M
' y0 k6 ]/ d' d, B. L# N % }* O. M* R7 X z" f. p: ]4 |- B8 Pso far what I have done is used the equation for GPE/ n/ Q n) w5 J4 G
which is 7 R# X) o# F# t3 u2 r& a0 k; i0 zU = - (G me m) / r ( n( z3 t# r+ Y9 N# m1 @, R) P$ r) z
where G is 6.674e-11 Nmkg-2( z6 ^+ {+ u) [5 o
me is the mass of the planet 5.1e24 kg . v6 J' Y6 _5 \5 b ]
m is the mass of the space ship 5.9e4 kg - A1 b/ \/ W) }
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