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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]
x, ^! @ |& }4 n# m
# }3 a+ t; r6 t+ D[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]% U) O5 r5 C, y+ K
" T0 b2 `; U/ i' |3 y0 J! _
) V( m* `( ^+ d
so far what I have done is used the equation for GPE
3 t$ V3 m8 M$ U5 q( Xwhich is
& i, V% F, v+ U Z" Z+ s nU = - (G me m) / r
$ r, w: |3 F" G6 ^5 j2 N0 z/ L6 B% A6 d% W
where G is 6.674e-11 Nmkg-2
- _- U0 x0 T, q0 {; \5 o# ~/ Jme is the mass of the planet 5.1e24 kg
, W; d; n- ]; U- tm is the mass of the space ship 5.9e4 kg
" b+ C. Z6 Q) z- _" L+ ~$ }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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