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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]& \2 b2 i0 s8 d7 a2 r
6 N2 x; ~ `. I" a( t( r[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' l) c# G5 d+ K
& K2 K7 v5 X5 m9 c1 S; Y
; c, P N; V: v% i3 c3 Q9 \. ]& Lso far what I have done is used the equation for GPE
5 ?. {+ r( E% g k- ~4 R, y6 f. |which is 4 {8 r1 B" E0 `0 B( J# X* n: h
U = - (G me m) / r7 q, n, L7 ?- Z6 N* y7 r
3 ~1 \: P: J8 P; O
where G is 6.674e-11 Nmkg-2
- {7 o/ B1 o- ^& @me is the mass of the planet 5.1e24 kg
- K" U0 D2 L$ Z/ |: L/ u+ Ym is the mass of the space ship 5.9e4 kg ) k# ]7 x/ f1 E% P; |
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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