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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]) c/ m+ `) ]$ u; ^# {) }4 ]9 G
+ T$ O- _- K2 N( a
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]3 ^: C" j- p2 \2 w2 D
7 E0 p( W5 g, c$ w9 `1 F0 ?* x7 \. K; e. M, S, y+ |9 V. p
so far what I have done is used the equation for GPE4 e! ?- g& j' p* ~$ s9 b$ W
which is
9 G" K! K7 p9 Z% t, p4 w6 {) Y+ _U = - (G me m) / r
0 q& R5 H& a) Q
9 X/ A& f6 C5 r" @- K gwhere G is 6.674e-11 Nmkg-2
7 r. T) q% I0 l& Q" E$ bme is the mass of the planet 5.1e24 kg . @% a, z2 g0 y) G7 \; F
m is the mass of the space ship 5.9e4 kg
3 @, I0 M9 z4 a `! g+ Y6 t& M, Mr 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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