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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]
- i1 J( ?8 F- l8 t) S, R- [! n' q3 T( {8 f g
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
$ f; L' ]- R5 u ?; P0 M( h$ w, W8 {4 z8 `; k2 r# S; q
' ?! C G: G! c1 Uso far what I have done is used the equation for GPE
+ s) A( J6 F# @% O* {which is " V" ]) J7 d* s
U = - (G me m) / r
! u/ A: o' `9 f6 Q+ N A1 C' g5 X; F$ b; c% c. q" W
where G is 6.674e-11 Nmkg-2) u R" ?' f% A G: A8 e5 _
me is the mass of the planet 5.1e24 kg
1 x ]! F+ T2 y xm is the mass of the space ship 5.9e4 kg % S" T5 W; V4 m- d, Y) H9 S
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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