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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]
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' k* d# C; @ R! }/ G
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$ {( I- S0 ^, V# {/ e. Iso far what I have done is used the equation for GPE
5 \$ j( U, p5 ?7 Y+ B# Qwhich is ; {0 n8 ?- Q9 ~- I [
U = - (G me m) / r
' i& K! \7 t B8 d8 j8 v. m2 G% X) |, W, L/ V" H2 C
where G is 6.674e-11 Nmkg-2
[" a. k9 }1 C2 u5 p$ N2 rme is the mass of the planet 5.1e24 kg
B3 j8 f( h( C! S* z0 f8 jm is the mass of the space ship 5.9e4 kg
) Q" x$ q. [% |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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