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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]
+ Q0 V& P8 A1 j2 [9 [( X) C& c
- e; |9 d, g: M0 S4 o7 g[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
9 Y. v7 b( o3 g, T8 R
2 o5 T, K. E: F8 t
- t6 ]6 m" f/ n: m6 _' V& n5 dso far what I have done is used the equation for GPE
: z! Y+ c W4 a! ]7 @3 ^ |8 Pwhich is : k0 `7 o" T% T
U = - (G me m) / r) _! b" d' p; D) c- n- _. k
; d* N4 u9 T' x' ]3 |( W
where G is 6.674e-11 Nmkg-2
$ A0 c, l) @3 k* _, p& M' lme is the mass of the planet 5.1e24 kg
0 a& A% y6 {- ~; n! r' S! Lm is the mass of the space ship 5.9e4 kg
# _" f+ w6 H% D$ z& E- 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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