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]4 e( V G7 r8 C: Z: a' F+ b
/ S' @. K% ~& i+ c5 l* s) a0 f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] ! C6 n: @+ p6 `2 o) E1 p( A ( P4 I1 ?% a+ b9 ?; F # K; D' D5 N+ b$ a; Bso far what I have done is used the equation for GPE 1 J" |5 |5 h1 ]( Jwhich is ! d, B0 x Y2 u P+ o9 h9 x
U = - (G me m) / r- w9 O7 m8 X% G2 g( o. F
) G$ t8 \1 T( l& L% {where G is 6.674e-11 Nmkg-2 1 W' E$ e4 f# r# D. t* b1 `1 ~me is the mass of the planet 5.1e24 kg * h& Z4 E! n4 \7 X
m is the mass of the space ship 5.9e4 kg 5 Y5 J1 L: t0 H8 i
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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