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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]
3 { v3 Q& l# P2 H6 Y. { H
/ E; k" S: r, G( \[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]9 _" q6 p# x' }" a2 A+ k0 {9 t7 N
! G+ S% {) @# s6 I- u/ b) E
6 j; f# i# k- C4 aso far what I have done is used the equation for GPE
' n/ d/ K' E! |7 |6 I1 hwhich is # V' Z1 b! o& S; ?, o% a, t
U = - (G me m) / r. S8 g$ G q3 G% g _
( f: h/ x/ ?% Q% F: h2 z
where G is 6.674e-11 Nmkg-2. _1 l: T' Z* X# y! Y
me is the mass of the planet 5.1e24 kg
! j0 X( O6 y# G6 `9 ^m is the mass of the space ship 5.9e4 kg
2 E$ n3 ^4 l! u3 Wr 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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发表于 2009-11-10 21:41
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