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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]4 f; V* e/ ~9 m3 ]
2 t9 S, P$ k. u2 z# t! g: [
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 @8 ]7 u! F, w& f0 X+ g0 j9 q
* a. [/ G4 B5 f
! {. Q' @; T1 Z+ g" N. Y" hso far what I have done is used the equation for GPE+ Z0 F5 ~' [1 X3 D
which is
1 e3 @, y' ?$ @" ~% D8 XU = - (G me m) / r! {$ {, f0 g7 P& t7 K/ k
) |+ t% u' k* L% p" z: Ewhere G is 6.674e-11 Nmkg-2/ W4 {" h9 r5 P
me is the mass of the planet 5.1e24 kg ' P( k5 ?- T# C9 N* u q
m is the mass of the space ship 5.9e4 kg
+ b6 X3 u. m* j4 T" M& q6 t$ @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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