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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 I/ O6 V7 p1 B% W- M
" G" Z& ?% p) S: H# ~[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]; {" Q( Y1 O* G# _- c
: T- ^+ ^, v! k) E# z) o* D$ U
7 _* z; Z4 O8 mso far what I have done is used the equation for GPE* T- n, E% l( z6 y5 A. j [
which is ) v( P" k1 l1 C o$ n' Y( G
U = - (G me m) / r- f* Z0 B" w( h) `
6 s, `" k" ]) j! ^2 i3 `
where G is 6.674e-11 Nmkg-2' C& v. A: P/ e: B) ?* [
me is the mass of the planet 5.1e24 kg
8 R5 K% R: W5 U' }+ ~6 Nm is the mass of the space ship 5.9e4 kg - v+ M4 ?. K7 ?5 I6 i0 A
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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狗仔卡
发表于 2009-11-10 21:41
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