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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 i: Q3 h X# b. P$ Q0 r
( U) B, r. f' U9 o0 O: p
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
: }( ~4 B% Q- _4 G' G
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' v9 p: I+ D. `5 a+ mso far what I have done is used the equation for GPE
# {0 Q) }- m' l6 B+ @which is
) |( P5 s, _) }( E3 kU = - (G me m) / r% z: E+ v% ]) }8 V
, M9 G* U( L( L& ?" L
where G is 6.674e-11 Nmkg-2, [) i% {# I+ I3 J6 }* U3 `' ^. J1 R
me is the mass of the planet 5.1e24 kg
o4 U( s5 ^0 w5 um is the mass of the space ship 5.9e4 kg ( j1 Q/ E" \# r( B7 A& d9 z
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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