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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]
k$ S+ Q7 T ^5 ~7 C. I! F' M+ B5 {* {; B( B' j
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]6 Y5 I# v: e2 \& o' z0 c
& F/ |) N4 o- Q9 G2 U4 y+ I4 I- b1 Z! V
so far what I have done is used the equation for GPE; z1 K8 O( ^) B; {6 u5 M9 k: B, s
which is ; G+ X$ X3 @4 w F' v
U = - (G me m) / r
6 g" F5 y! O* j ]8 H
7 v( ?" j$ ?0 A. swhere G is 6.674e-11 Nmkg-2
; v% T* s6 r, |1 @0 g6 U% ?5 S' ^me is the mass of the planet 5.1e24 kg
# A% n' n: G1 N0 f7 km is the mass of the space ship 5.9e4 kg
2 }$ [. [1 T6 U9 W! g7 P# o9 M, n( cr 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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