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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]
: k: |5 m% H0 V- V6 ~+ _: u4 l6 p Y% k: [: }
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
5 _, i' u1 `5 N( \7 f1 N& k( l i+ b. m) i) L2 A# S6 ]
, c! k$ \% I& y/ b9 L
so far what I have done is used the equation for GPE
% Q I# j$ |; R+ k) ^2 Awhich is
# B/ t( \! w' J0 JU = - (G me m) / r1 j1 R0 N+ S* o
p I4 @1 N5 A, U, w
where G is 6.674e-11 Nmkg-2# M9 q+ r! L/ r
me is the mass of the planet 5.1e24 kg
- `8 T$ w' i. ~8 _2 U% {m is the mass of the space ship 5.9e4 kg 2 t8 d# _' J+ [$ ^
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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