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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]
2 h% Z/ x* x5 ]8 J5 {. J) c. L4 m$ r- g2 Q3 T* k7 x5 E
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
7 _: @# @9 ~3 h" \ ^% S# W! @# W" \2 ?5 }2 U
, I; Y$ @( s0 P3 Gso far what I have done is used the equation for GPE
3 l/ M' @" r/ k$ |8 pwhich is / k6 p: }4 x' s" q* A! a$ ^* x
U = - (G me m) / r* k* U/ `3 k: f/ M* c
/ M3 ?, X4 O/ O8 e j# owhere G is 6.674e-11 Nmkg-2! @ B: ? E! V# z
me is the mass of the planet 5.1e24 kg
2 p' L! Q* O w0 y! }8 Nm is the mass of the space ship 5.9e4 kg 5 u9 e) u9 g& |, J ]6 q
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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