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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]
& q1 N/ g5 w) V0 j0 m% Y T2 D* N5 M4 ?
1 g8 { U% d# ]$ x _[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 I0 a( J; z% y# l
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so far what I have done is used the equation for GPE
2 o2 _) h/ l8 z, k' V6 uwhich is
/ Q* G1 r; v$ w) w8 `3 BU = - (G me m) / r
* R- w* x* u& S+ i* L* d; U; m p! n4 G
where G is 6.674e-11 Nmkg-2
4 [# x. N+ Z: v qme is the mass of the planet 5.1e24 kg / s8 v: B/ t6 [! n; Y$ o' h
m is the mass of the space ship 5.9e4 kg ( {# f! I2 k4 B& h( e
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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