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] $ S% Y* O! G6 r3 m2 j8 h- T1 L4 n" Z; _
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] ) R7 a! M- N ~3 @. A4 f# K - ^/ b' I- M0 R# T4 ?: _, y0 |& j6 }6 x( q. [ M/ Y& ^/ Q1 d
so far what I have done is used the equation for GPE2 \7 J3 e0 d8 i3 G/ Q' N+ x
which is . U1 U& O3 C& U% }8 r6 t
U = - (G me m) / r) M9 N" `% |( g" [6 J' B# s/ M
" v# ^! M7 A( q/ i d! Twhere G is 6.674e-11 Nmkg-2 $ Q0 v4 t" a* l6 t8 w6 zme is the mass of the planet 5.1e24 kg 3 w' w+ c" O" E: z1 n
m is the mass of the space ship 5.9e4 kg 8 B- P) W1 J6 N* j- N* F
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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