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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]
. B( L2 N5 Z6 _2 j3 l% g, g4 Q, t: p: K5 K9 A
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]+ ^6 a, ~' a# Y* e7 {% S4 o" s0 P U# c
+ |% ?4 r. i# d* a! J
" t8 G7 E; h0 u- c. }3 y8 n
so far what I have done is used the equation for GPE2 n7 V$ r7 v5 }
which is
% j( q$ @- M9 x e* ]5 I( A0 mU = - (G me m) / r5 [. f2 ~, @' b0 g3 Z8 E m
/ k. u+ {: M, b6 y' N) y
where G is 6.674e-11 Nmkg-2. \. x F V1 Z: ^5 V& L: G
me is the mass of the planet 5.1e24 kg , A/ ^6 b- u0 L. ?) }: D
m is the mass of the space ship 5.9e4 kg & a1 W) k/ C8 q8 r+ Q5 b F3 r
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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