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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]1 @7 e0 @: @- @
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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- W5 P. F" Q0 l& y; E! Y5 fso far what I have done is used the equation for GPE
1 T! n. M6 @5 C8 Gwhich is
+ L0 T. z! x) i) l3 Z' z* oU = - (G me m) / r$ T7 ~% e: d1 e0 Y, E
. S" G* h+ a, s; D5 wwhere G is 6.674e-11 Nmkg-2
& E8 W: U* E$ h5 j5 R3 Z' ?me is the mass of the planet 5.1e24 kg " F) K' j- Z, w5 ?6 ]: l7 J
m is the mass of the space ship 5.9e4 kg
- y: g+ H: A( Vr 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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