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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 h, s; J$ B9 [% H5 `# B$ p7 {/ }/ }! ], ~
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]: M& t- M& G6 k5 o0 n; L
. q0 m8 P; r' q* n5 Z6 }( Y: q" C5 ^0 g1 a; L4 d4 i4 h- c
so far what I have done is used the equation for GPE5 [" o5 e2 A/ n5 R; f( v
which is ( U8 X6 ]$ y! m
U = - (G me m) / r9 T3 f; j1 o I! V+ L
' p! G, Z4 p6 L& Hwhere G is 6.674e-11 Nmkg-22 R# T( R6 G0 z2 F& `% U
me is the mass of the planet 5.1e24 kg
$ K- J" M" U4 S6 M" |m is the mass of the space ship 5.9e4 kg
: U- v1 x$ ^/ g- D9 P, dr 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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