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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]/ K) |6 D, i3 q, u4 {( K9 l: {
3 d3 ^: E u: C" Z0 @7 f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
& W3 Q7 h0 Q* L6 R( _- Q6 d" `5 A+ [6 H# J
+ d; t1 C7 X4 [6 Q- y
so far what I have done is used the equation for GPE( l0 ^% D$ M/ ?3 V7 B
which is
. c' b: x& k9 ? U% r( C' y$ fU = - (G me m) / r S- f- Q4 K4 B* ^, S
$ H( F, _8 i4 G# H/ k+ i3 d
where G is 6.674e-11 Nmkg-2. n6 c. k% y/ h( F3 A; }8 M1 h& f
me is the mass of the planet 5.1e24 kg
( Q% f0 v) r9 O3 Z, E( Z# x( Nm is the mass of the space ship 5.9e4 kg
$ @' K! ?- i( a4 Z( G" v# J8 Tr 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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