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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]
, Q. b4 M. F2 J) c" n# R8 R
% \! M, i* d b2 {+ |, N[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]+ x, \2 N7 `1 W) h! u0 X0 Q) K k
7 d- t8 G, I$ l2 a3 F
0 ?/ W% Z% m1 }) zso far what I have done is used the equation for GPE6 f3 ~% v$ c9 `% r4 W/ d; E
which is 6 l) d' T( U) X5 J8 R" t" e
U = - (G me m) / r- D) e: @( e1 M: F
2 @/ ^: v# S* y1 A% r# H
where G is 6.674e-11 Nmkg-2& l% b1 T2 f# @7 P- A$ q7 T8 A; H
me is the mass of the planet 5.1e24 kg
2 S4 w2 m$ l0 a1 am is the mass of the space ship 5.9e4 kg
$ n! q6 G: f1 C4 V5 l0 I4 fr 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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