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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]
9 _5 L9 o ^6 [$ Y/ a) o. C& }
4 v2 d9 a: d9 H[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
. C0 L! C/ U& m( q) h' x$ M8 C* q1 w f' b( }
& r) I% f9 ~. c2 W" X' M) p
so far what I have done is used the equation for GPE
2 N4 ^3 J* B/ K* z- |6 R' H6 p4 L% S# _- ~which is 6 x' V7 X+ X' ~* }! }/ B s. @6 v
U = - (G me m) / r- u, o- k" g% \2 r; y* p
; Q, m! T- M* a1 w! A
where G is 6.674e-11 Nmkg-22 E: H2 a7 @+ `
me is the mass of the planet 5.1e24 kg # ?7 H* ?% I' u1 k. { G% H
m is the mass of the space ship 5.9e4 kg
' j% Q/ ?4 m+ S7 K k6 d, `% Tr 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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