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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]
, r, x' _2 t$ c# H! U" _) W' }% e0 c9 c: U" ^& t6 O+ A
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]# T+ | I% R2 l7 J+ u1 [
7 X2 D4 l* b4 o/ \( n6 e' n" X% ?2 u2 l) H q4 D
so far what I have done is used the equation for GPE% C r6 O0 u* s L$ s* \' J" s/ `
which is ( Q9 Y K+ R# w# L7 W+ `
U = - (G me m) / r
/ G: y# i H0 ]9 y* u% p* Q! Q
6 V$ e+ Z4 C" {' C- m/ Nwhere G is 6.674e-11 Nmkg-21 n4 |2 U8 P+ c
me is the mass of the planet 5.1e24 kg 1 w, O" ?) A' }3 W3 d
m is the mass of the space ship 5.9e4 kg
) y. b* X) C3 W" wr 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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