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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]9 a6 y* @. p2 Y/ j$ S+ d
4 Z7 x! R( R5 e9 [- a7 h
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
: J1 F1 d9 m$ e4 ~
/ r* `5 j) F* P2 W, K1 N6 N" y- V# s9 q1 a( [% C
so far what I have done is used the equation for GPE
) }1 M, N8 _0 K6 uwhich is
3 A5 r$ e7 C% \U = - (G me m) / r8 X3 r( g" _/ {: i, e' F: n! C3 m
# J" k4 x; N$ u, N! dwhere G is 6.674e-11 Nmkg-2
1 F' b9 `( s. J/ p$ zme is the mass of the planet 5.1e24 kg
. }% U* Q6 T' \9 e6 A- nm is the mass of the space ship 5.9e4 kg 7 ]+ [2 _% |" S$ b* c D7 v& s
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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