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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]+ E' Y5 p3 X6 y
) \% h5 _/ _# F7 p7 ~; W[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
3 A6 _- g3 m9 v5 e/ {+ O: x
8 C7 k! c0 ?( I/ {$ ?% ], }2 h2 C8 A9 D0 Z
so far what I have done is used the equation for GPE$ T. X" y4 ^8 D; E* f9 d
which is
x+ b% s9 ~; }+ ZU = - (G me m) / r
6 D$ f$ O5 d" g D% w; i1 c) q/ a1 D& u: B$ B- b/ g/ P
where G is 6.674e-11 Nmkg-2
$ N" K }- n8 `2 l, _. ame is the mass of the planet 5.1e24 kg
?7 |7 _+ A' \$ t+ N6 D# r4 N# P7 p8 Am is the mass of the space ship 5.9e4 kg ; J& J8 \! Q& `: }/ w, x
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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