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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]1 }. ]" u! T8 b2 [# s7 R
/ T! `6 j2 o: L# x% { W: i+ |9 n[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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so far what I have done is used the equation for GPE
/ x4 ]2 y# s6 J8 R6 Gwhich is
! a" s; |$ s4 y5 [9 CU = - (G me m) / r
* P: X/ K! r0 M. K* w, Z2 L5 f6 E7 ~0 s/ J# [
where G is 6.674e-11 Nmkg-2$ l: o1 F% ?8 V9 _& x
me is the mass of the planet 5.1e24 kg
, v/ G: Z) W' A2 {7 H/ e/ _; rm is the mass of the space ship 5.9e4 kg p: a& o, v7 `$ k/ T W$ r
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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