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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]
% r" s' [7 \' g" g; Z# |* m) |" q7 [( Z6 [" ?6 t" ]- |
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
: i" Q- \ p( @* e6 } G, K" ^4 k( `8 n1 _7 {8 j# a. J
8 p( p3 U6 E4 S, i2 {so far what I have done is used the equation for GPE
+ X+ I, l g7 F0 |; b y& fwhich is
4 f. G/ {% M @0 SU = - (G me m) / r. L9 I* ~, {3 V. i
4 ~1 y6 v, l# n! {. @
where G is 6.674e-11 Nmkg-2; }+ z# H8 j/ c% g
me is the mass of the planet 5.1e24 kg 8 y W9 U9 S% ^* z- R6 ~
m is the mass of the space ship 5.9e4 kg
, } w$ L2 t2 G: c1 D8 xr 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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