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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]* V" E K2 C7 c* C
. }4 V q& G$ F9 V! c, G' [0 b) A8 R[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] w/ u8 a3 I: s( F2 K
8 _" p2 [' E: S2 J
& w* O* C- R& l0 @$ p- H" n/ h1 n, wso far what I have done is used the equation for GPE# |( f1 K+ b+ v. e# @+ H A
which is
! i& }0 _# p1 } E, sU = - (G me m) / r; M+ g5 ~& [. `4 A
* X- I) C( y' \8 o: Pwhere G is 6.674e-11 Nmkg-2* `4 a3 z: ^0 F% M0 U
me is the mass of the planet 5.1e24 kg ; G7 f7 ?6 T& n
m is the mass of the space ship 5.9e4 kg
- c2 ^- ?: j% p3 ^) A4 u& V, d" H* D, Er 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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