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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]
8 m) x# o1 I/ w( e0 {# f7 h
! c' U: I, A- |7 e0 a[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]0 G+ U3 c! v) A1 u
+ t. J, w7 I' {! d- @: z# W& ]# z) ?2 _% o( X* o
so far what I have done is used the equation for GPE' ]0 f' R4 X$ R5 P
which is ! n( N7 B$ d" H, m. v
U = - (G me m) / r
& ~8 X i4 i: |: z3 G9 T! F' U0 |
where G is 6.674e-11 Nmkg-2
# j% y) X1 I# e" M! H i9 k# X. nme is the mass of the planet 5.1e24 kg
' n. s' A! P$ p F6 G$ K. }; A2 v4 ?8 O, zm is the mass of the space ship 5.9e4 kg . o, o* E% _6 G$ ^ w& @# T) ~& p
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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