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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]7 K5 w, W4 K- f) v$ U( n0 ]7 \3 H
+ R! Y! H. F* ^3 \' Z9 t0 f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
9 o5 h1 ]$ L: N1 P, d, }1 X
9 m" ]: Y7 K) D, F5 Y2 C# i: U$ t8 A1 V$ [
so far what I have done is used the equation for GPE
@1 p2 o% b' w) V& bwhich is
* K. x5 ^; ?: z" AU = - (G me m) / r( A: W, [# P2 b1 Z, Z9 v. d* x
: A+ V, }: I; \8 s$ V7 M5 Ywhere G is 6.674e-11 Nmkg-2
1 y7 {. F3 N4 s! k* B2 t0 N% m3 V6 ime is the mass of the planet 5.1e24 kg 8 ]8 N( o; i$ _2 ~
m is the mass of the space ship 5.9e4 kg
! _2 @0 j( i: L# _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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