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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 L7 a5 a" A- \& L
* Z- `! C( S) K, D* g" P; R' P, ~& f[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
, ~; n* }4 c x0 q. G# W7 c( \% s
$ {! R2 V' w* z4 n8 Yso far what I have done is used the equation for GPE! F5 c- V1 z% _2 q# V
which is 6 _/ Y6 K- Q6 |
U = - (G me m) / r5 i6 b+ V' `5 }
! ~6 T4 l$ }. H5 [5 S9 P/ vwhere G is 6.674e-11 Nmkg-2
3 b! o, g" c3 s% zme is the mass of the planet 5.1e24 kg
. s7 T( p) T; ^; Fm is the mass of the space ship 5.9e4 kg
) I) X" D4 ]! W- Y; Kr 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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