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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]1 h( C+ V* f' N
0 \4 K/ T l6 W7 U# X
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 t. |; }. e2 o+ H% P
( b# n. G' I- P9 H, h2 W- s0 I9 w9 A; i6 W8 x G6 { `
so far what I have done is used the equation for GPE
" H* T, g5 l1 M# m. D* |which is ) [1 x! Z* p4 I) }" p% X
U = - (G me m) / r V5 p. E- \1 T" O& f" F
% a2 o8 j/ t0 z( s3 p% d
where G is 6.674e-11 Nmkg-2
0 A6 o+ ]. v1 c/ I) Lme is the mass of the planet 5.1e24 kg
/ u2 U9 H( G, z6 L2 `m is the mass of the space ship 5.9e4 kg
7 {: S9 J% U: g, v/ J+ b9 `. @! Ur 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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