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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]
# M7 D m1 E) |' m, K/ ?, U T
- }+ q7 J3 }/ j, l[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
6 l5 l4 P; ^4 `1 \* X! e
+ ^( m% {6 C0 y) J7 C- C5 `. c
4 i) K; I6 R8 [5 l; P9 V$ Gso far what I have done is used the equation for GPE
- ^) x- x5 ?' d6 W% ?$ `2 m" ^which is - y1 }' s, ^; |6 y1 N' o& J# x
U = - (G me m) / r
2 t7 J7 s0 G) Z6 p( a- ^$ ~' U; P! R1 e- r9 m- D
where G is 6.674e-11 Nmkg-2
! M- _( }& a1 Q- a; Y7 Ome is the mass of the planet 5.1e24 kg & Q3 F9 `. X% ]9 d! K0 [
m is the mass of the space ship 5.9e4 kg & w- o r& T7 Y9 T
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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