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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]
1 `: p X+ ~9 u8 C) _* y# }, ~; ]& C5 P
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]/ r* p: M$ @3 T: S9 S
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* W; H; K) x- Tso far what I have done is used the equation for GPE
# i" q9 d7 W+ r2 |which is
2 t1 N) X$ H8 c; v P6 xU = - (G me m) / r
0 Y X- S1 i+ g& O4 c
6 y, e% k) f2 _" C& ^9 J& Qwhere G is 6.674e-11 Nmkg-2
+ C4 a& |8 H4 H% g, c( R/ }me is the mass of the planet 5.1e24 kg
; R4 a$ _; b6 c, `& }8 lm is the mass of the space ship 5.9e4 kg 9 D4 k# }$ e I, y) C! _( w
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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