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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]
& Q8 r/ v( E/ ?9 E2 I6 f( S6 l. X" c5 ?* n% c" m l
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]; k% S6 X7 R, k
6 l/ U9 G/ O+ ]1 z
3 D3 g' l/ [! Q) v4 ]so far what I have done is used the equation for GPE
7 A/ B4 n4 F* V" B/ Zwhich is
2 I) c& p9 |: g. R; bU = - (G me m) / r8 I4 C+ }1 W$ z# r5 }7 _4 _
" X6 [0 j7 B& p/ Cwhere G is 6.674e-11 Nmkg-2
. ~' x/ B! W4 l1 c) q7 Yme is the mass of the planet 5.1e24 kg " _9 y, I0 o" H+ Y8 @- _1 B& Z2 B* j" t' ~
m is the mass of the space ship 5.9e4 kg $ q! |, z; a8 e* u
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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