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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]
( b. C0 C/ {) S0 }5 G/ i5 a0 t& R5 e. o+ f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
" F/ m" h, c" q" T) v# Y3 U( @8 @ C+ `! C* ^8 F+ `
! N8 C' r. I$ M4 K/ Z" X
so far what I have done is used the equation for GPE
w! ~% H4 L' ^2 M3 c) a, mwhich is 2 Q* k3 S4 E" {5 v( S
U = - (G me m) / r- |8 h5 J! C$ m! ~4 |1 n
$ O4 O1 d8 {, t* M
where G is 6.674e-11 Nmkg-21 ^2 s3 }. w+ H4 K+ k0 P! k1 Z
me is the mass of the planet 5.1e24 kg 5 `1 a# v S# d; A6 h
m is the mass of the space ship 5.9e4 kg
- b3 M& o, z4 t r: G2 t# L1 ]7 m* |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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