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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 Y; d5 V* S8 `+ R6 T: |' e* q" b
2 m! D3 b( J' o( ?1 z6 {0 z. g[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
+ E0 ^& r5 W+ ?9 d/ A/ w1 E
" J! ?2 v8 A. n, P0 M
* h( W9 k3 l7 c- i6 ]" wso far what I have done is used the equation for GPE
5 W: }( ]. `' j% Ewhich is ; Q/ C, ~$ {1 P) h
U = - (G me m) / r
& K& l+ v l' ~" e1 b
- z! ^2 U. ~! u9 W0 Jwhere G is 6.674e-11 Nmkg-2* _' x6 s, R6 a6 w/ n% n* P% U& a
me is the mass of the planet 5.1e24 kg ) ^8 W9 Q! E. v% O! I- V/ O% F
m is the mass of the space ship 5.9e4 kg
# v$ _9 k5 o' gr 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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