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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]
3 a) r! O: V3 B* [1 V2 E4 _' P/ K$ t1 _' ]- I) N
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' h( E+ B$ N7 I" X4 {
6 D2 R9 ?5 P$ Y h B
' n5 j* Y0 c& p1 W. B3 X
so far what I have done is used the equation for GPE
d0 o, o0 X& e8 ?7 Q# E; L7 W8 H! B* Mwhich is : T2 p7 e: U+ U! n7 f
U = - (G me m) / r
. _; x# Y5 ]3 Z+ u, S {* z' @: U! G' N4 Z4 y3 C4 q7 K+ {
where G is 6.674e-11 Nmkg-20 A, M* B$ I, m
me is the mass of the planet 5.1e24 kg
7 r; V4 W3 M- f# nm is the mass of the space ship 5.9e4 kg
% F' }! C* D W4 C8 O$ f, e$ Or 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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