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]* d$ Z2 N' @: x3 m1 l3 w# D! r
6 D- w" i3 B+ T1 Z: ][Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 1 `/ y3 k1 A. C! X7 m$ x2 ? . o6 ~1 p! s; G& I4 j) Q# `0 g% L7 c4 t" |; Z' k
so far what I have done is used the equation for GPE * n" n9 {$ c" U4 L ~which is 5 @' Q$ K7 t% g/ e" F4 @: I
U = - (G me m) / r* s: {7 w* g: g0 v4 H
8 [6 r2 G. U/ m: M* _2 S9 _& o" j. Ywhere G is 6.674e-11 Nmkg-2% g& J. Y2 r$ Y$ _( V& u2 B* U
me is the mass of the planet 5.1e24 kg 9 g/ _0 A+ e7 X5 o& B% f( Fm is the mass of the space ship 5.9e4 kg 5 s* Z1 v4 H" s" e) l7 r$ ^
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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