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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]
& J8 g7 P, C- N4 M _! S# p4 ~2 a( i' D, W
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]4 u) h; }: T7 s
7 A( A4 p2 w1 M( O( _( b$ P# h3 v, J% y& u% c% q2 |
so far what I have done is used the equation for GPE
9 K* q' B$ T2 j7 }) d' iwhich is % x, {/ G" d* F: J) p8 e+ L
U = - (G me m) / r2 J U" s. y7 t( w' r; |( u
& U5 X- J) P9 s* ?4 cwhere G is 6.674e-11 Nmkg-20 V+ \" \2 ]* S* D+ J
me is the mass of the planet 5.1e24 kg 3 E. O; H4 L: s: T6 |1 v
m is the mass of the space ship 5.9e4 kg
/ A4 q' S( m7 [, b8 _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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