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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' \- n, |% a6 F& a% b
9 |: y t1 b' ~) A[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
7 f: P- U Y% G/ X0 |; ?5 q4 W6 M
4 f- ~( i# w# W9 }4 |
) S- F: B$ x1 S, L# V6 Aso far what I have done is used the equation for GPE% G# i/ [/ q" L% S5 y- O
which is
9 h( ^- Y f1 S- PU = - (G me m) / r
" u$ f9 G' B& f
K# f$ z/ f* F) o2 q: u' g1 Swhere G is 6.674e-11 Nmkg-21 L3 Z% a( v% f( p N1 l- j* P# k
me is the mass of the planet 5.1e24 kg " U- n( K: T1 _/ B0 F
m is the mass of the space ship 5.9e4 kg
% ~# p J6 [. E& Y% R, qr 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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