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]+ `3 Z" w) D- K; S8 Z
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 6 x- X. y" t: s& J& Z 9 Q2 U$ }" y! S- |* a ' A }4 ^* c9 o' s$ I O& B5 h: vso far what I have done is used the equation for GPE+ `8 q5 V! `. d: y& r
which is ) D6 q; e) w. d4 s
U = - (G me m) / r ; A: @$ F% H( u & q3 I3 X' v+ x/ [5 @$ X0 D8 fwhere G is 6.674e-11 Nmkg-2+ a$ w/ k. n& p' Z; F8 I% E
me is the mass of the planet 5.1e24 kg 0 [- u1 a& C' ?' h' L1 g( j% N
m is the mass of the space ship 5.9e4 kg * @' K) |0 R) g
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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