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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]* F t5 Z! J( n$ ^; G) B' J. d' e
/ L0 t6 n+ `0 h$ a" v5 j[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
- ]6 }1 J# O# @8 b4 P1 d" N' u8 \6 K* |: t4 j* P& a. L0 Q6 R6 x. p
( A' M( M/ D, b: u! Dso far what I have done is used the equation for GPE j% J& M1 ~9 p" T" }+ F
which is
, N1 |2 R* \% M$ I, M) _U = - (G me m) / r- f; X1 k) g. ~
8 i4 b4 G' n# F g3 | f8 q) ?
where G is 6.674e-11 Nmkg-2% Y+ ]5 {8 s7 s
me is the mass of the planet 5.1e24 kg ) ]3 s1 E. y/ x0 P: ^
m is the mass of the space ship 5.9e4 kg
! f& d$ ^9 S# u) y+ Vr 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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