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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]" N E+ K" d- p$ J* b$ m z% O
4 E9 J2 M; C* |# F
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
$ O& }, T6 u: F/ {$ I. v, L- y; m2 R& X+ G1 n
$ r( J& c z( V4 x
so far what I have done is used the equation for GPE0 L1 u5 q5 k$ y, o2 S$ e Z8 z7 P* h
which is & B: q o& I! @4 f; g1 f7 e
U = - (G me m) / r6 R: B- C2 O6 L$ C
, H* ?6 l9 M5 ^
where G is 6.674e-11 Nmkg-2
$ n0 i3 f+ q" ~- sme is the mass of the planet 5.1e24 kg : U: Y; V& {! W; @
m is the mass of the space ship 5.9e4 kg
0 G3 p9 P7 G4 L4 y$ S) K. 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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