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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]+ `+ @7 r# q: h/ a/ Q* f/ c
1 T& F+ U$ l k
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
6 G8 D0 \9 l& n8 P, V; ` S" @. k" F+ }9 y+ M2 @; Y
. g V2 ?- S- n+ }2 D# p/ e M6 Dso far what I have done is used the equation for GPE
1 h2 C& f: {- c5 p$ L" A) Mwhich is 0 ^, W# Z# u! c. m& w( w+ t w
U = - (G me m) / r" Q5 g, r8 E9 Q: g i
3 j5 L& x4 k* R& `! A+ P) _/ vwhere G is 6.674e-11 Nmkg-2
$ m3 F* x+ @2 U) W' n) c; Mme is the mass of the planet 5.1e24 kg ) s. ?( }/ E2 a: K) `2 I* j
m is the mass of the space ship 5.9e4 kg
6 c3 ]5 Q: Y$ S2 u J$ y- |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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