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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] m, f; G9 u! x+ p3 @8 d) ?! e
" t. f- e" [1 z: M[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
. B7 ^7 |8 C- k' s, E- T
7 D% f9 i& C2 K0 A3 Z8 j* g* V, ?, t! C7 M3 ?; u
so far what I have done is used the equation for GPE: Y# T8 n" ]1 m1 P- a
which is
, e- Z8 T; A6 UU = - (G me m) / r
, v9 U% ~+ P2 M* \9 I
$ k( L- J& y1 P/ Z8 M- C1 k: awhere G is 6.674e-11 Nmkg-2) s9 W0 _& h7 M' h! m) x- \! y
me is the mass of the planet 5.1e24 kg % S$ k4 c \. ~& N
m is the mass of the space ship 5.9e4 kg ; c4 ]" w8 q5 S, T! \
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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