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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]7 W; g. Y1 Q' w$ c8 B& F1 v
" \" w1 d0 `3 Y+ d; C
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
- [" A, z3 G3 L! h. F5 ^0 p8 y% l: S
, O5 g' T5 S# `7 o' a, f. \. t4 J1 d1 g5 ?; |
so far what I have done is used the equation for GPE
4 @( ^# Z/ _3 B" b9 p/ T3 h- ~which is
/ e* K" M3 Z! D' Y4 A {U = - (G me m) / r
, U9 b% r% v" O+ [9 }
/ i6 T* W z5 J6 I" ]9 T; c4 Iwhere G is 6.674e-11 Nmkg-2" M' M8 u# X* |5 X' U
me is the mass of the planet 5.1e24 kg % |, A: U$ W4 C; n; q, I$ F
m is the mass of the space ship 5.9e4 kg ' p, W) V9 Q2 `1 O' e% x, e7 H; P
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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发表于 2009-11-10 21:41
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