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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]9 E2 c* N" r. \/ R
$ g1 i6 e! w" H' q. H6 k[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
8 s* Z2 E- e( L# M4 [3 Z& A: e) E' Z5 u: Y- _
7 _( [7 I! r! ^( Pso far what I have done is used the equation for GPE
, I1 W R& E1 vwhich is ; W' v' q2 o- }
U = - (G me m) / r3 b! a8 U H' \& f8 i9 ^' ^( B& H
, e; ~+ W ~$ _ h" U# g2 fwhere G is 6.674e-11 Nmkg-2
9 h. W2 {' C0 K, y1 pme is the mass of the planet 5.1e24 kg ! {) V- N1 e8 D0 [ P: E- G
m is the mass of the space ship 5.9e4 kg 0 {% a3 i7 \: I% q5 l2 G
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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