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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]/ Y6 V& @% I; o' V
: p1 o# s+ H) R0 ~/ w% O% v( f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
' F+ e4 C/ {. R1 Q, i3 C' s7 C% z3 \8 a6 W
( R, ?* G& J8 E+ } F3 |so far what I have done is used the equation for GPE
' ?* s) N( `* ~9 Y! U/ Ewhich is
9 V0 X) P+ |* PU = - (G me m) / r1 V3 a6 ]+ ], n0 \" [, N
7 j: x, E5 S; Z. P
where G is 6.674e-11 Nmkg-2
& T( v/ k: B+ r& @* X1 Eme is the mass of the planet 5.1e24 kg
6 F( K8 l4 j7 d% z- Q7 o9 a. M; Q* wm is the mass of the space ship 5.9e4 kg 1 a, \- V/ |/ C* e
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 |
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