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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]8 E: N. G% P \2 Q$ n# T
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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) _2 o3 L/ u: z, r8 Oso far what I have done is used the equation for GPE' o8 b t# B0 c
which is
4 u# S) ^/ J4 M- o, N Q2 wU = - (G me m) / r5 ]$ O: \& g& z8 J' z( b
9 G. N( S T* h; g
where G is 6.674e-11 Nmkg-2
, L' } }, s) y3 f0 a" Jme is the mass of the planet 5.1e24 kg
) R7 @* m7 Y8 x+ C! I* g" Q: m3 ~m is the mass of the space ship 5.9e4 kg ) ?7 C( |6 v1 L0 H
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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狗仔卡
发表于 2009-11-10 21:41
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