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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]! q4 @% `5 }5 k2 X% Q* |
# G, J6 `0 ]2 s' \! i
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
1 w; b( ]- U' |7 L" ~) q3 I' ^
+ U k9 h, h* W
* @+ O9 \8 P3 V5 @2 c& q% rso far what I have done is used the equation for GPE
% a4 Z) W" i: v4 [# i7 Q# `4 w' Hwhich is . D7 m- Y! q# F
U = - (G me m) / r
3 c G$ c- w6 \9 u
' S3 ^, B1 E& A& hwhere G is 6.674e-11 Nmkg-2
! D1 m4 @1 u9 z- @; E6 Y8 {6 c/ ame is the mass of the planet 5.1e24 kg 0 |0 {% n1 i7 Y8 v$ x: m
m is the mass of the space ship 5.9e4 kg # n" k5 n! M5 G* E$ 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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