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] " \3 u. r0 E9 F" f/ Y0 H . W+ [0 F: ^9 k% w[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]8 e9 w' X4 _% z# L# \
4 p& M/ k3 W: {5 W- Z ; s# o/ N) d* O6 y! ]so far what I have done is used the equation for GPE( ]) }$ Y. ~3 r4 z
which is 4 C4 E/ Y- u- K2 R5 A) wU = - (G me m) / r! T$ e0 S: o; F! d0 c7 `
6 F$ S7 _& C/ a; U/ E6 Mwhere G is 6.674e-11 Nmkg-2" ], U/ X7 F, @
me is the mass of the planet 5.1e24 kg / T1 k. w8 Y$ h3 g( Q* N+ I
m is the mass of the space ship 5.9e4 kg 0 Y/ K N( n* [; M R! V
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