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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]6 u5 x3 U0 L& p* j
9 u7 N% ^* Q2 }) _# |, H[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]9 v0 @. _$ u$ q" b+ `* { [/ [3 f4 P
4 w9 x4 S* C1 k; e
9 f @- D/ P/ t' v% H. {: E* aso far what I have done is used the equation for GPE% e* P2 U6 j& J. A! V) d
which is 4 a2 J2 t; y/ s9 w! `$ ?3 I/ f
U = - (G me m) / r
m/ k* N3 l. E- [
- i& Y$ n+ B1 M; Z- ~1 r) `& ~, Fwhere G is 6.674e-11 Nmkg-2
- u3 I/ T7 L2 T; U) @8 Q/ k/ Vme is the mass of the planet 5.1e24 kg 9 K; G p5 m0 {
m is the mass of the space ship 5.9e4 kg
6 H' m4 R, f+ `& o. J7 a) p; Lr 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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