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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]6 f2 A' ]) m4 y; h# c0 a
8 l* Z, g0 J5 C$ e8 w
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 @: Z' D! e$ a9 @6 y
* l Q7 J" ~0 ^3 T# ^ y5 K
7 H3 M/ N" f( N; ~so far what I have done is used the equation for GPE
$ Z2 ^& s4 C& T+ Ewhich is 6 I& j4 m: T, P
U = - (G me m) / r$ B3 i. f' C0 c9 n
4 ]2 X, Z/ I9 v) w' k+ J |
where G is 6.674e-11 Nmkg-21 S' i. |5 J$ i0 S) p2 q7 W3 s0 Y: |; v
me is the mass of the planet 5.1e24 kg ( F2 d) y% v: m5 M5 f
m is the mass of the space ship 5.9e4 kg 4 `, W/ W3 K5 Y0 Y
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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$ ^6 V& T# V5 w+ H& z, g7 G7 |