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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]
: t/ Y/ C. ^# f9 q3 X, B7 G- M# t/ ]6 a) ^9 X- L3 E3 L- k
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]6 B7 J8 g ?( o. ]1 y) F5 n
& x1 G; n0 P7 j" k G4 z
+ q& k, W- p& fso far what I have done is used the equation for GPE
- \) e2 d2 p1 c8 iwhich is
1 w: g2 K8 G' U! V3 A( \U = - (G me m) / r. a0 S$ d( E% Y% G* n z
; m6 @( p3 ~7 |5 i" V4 S5 F
where G is 6.674e-11 Nmkg-2/ n/ d7 J$ r9 {+ K# J1 V
me is the mass of the planet 5.1e24 kg , w' ]8 C, _- n+ Z7 ?% N5 o
m is the mass of the space ship 5.9e4 kg , x: ]$ k% g. t. Y0 M4 I5 o
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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X% m5 d R* V+ k' E