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]2 h1 |: ^: @6 Q1 y6 M
6 l" ?! V8 a- {" Y' d[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' O) d" F. N( G/ P6 i1 ]
% ?" }' z/ v/ g# r" c* X 6 p+ o* E. h; S0 |, U3 Mso far what I have done is used the equation for GPE . U2 i! V3 n5 F( _# c: T' Lwhich is ( I6 V, v$ V# G$ X4 f. H8 jU = - (G me m) / r 5 A c2 j- ?: |' ]) y8 G+ w" s+ \" a9 J. j
where G is 6.674e-11 Nmkg-25 a9 J. d0 |* Y6 }3 |
me is the mass of the planet 5.1e24 kg + Q+ u* C- b! w- Q* {m is the mass of the space ship 5.9e4 kg 8 |& z$ T1 f3 N4 [8 C$ Mr 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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