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]3 z& `% ^$ o' o1 b
$ p: i3 x) C! V5 f; k[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 8 N0 x$ F: K3 n* D0 z# d * y( L$ z- m* D4 Q) n; u" S# k" F; I
so far what I have done is used the equation for GPE( g/ r( T8 i3 Z8 N8 Z1 U' |) d
which is , P# v4 p; `( z9 }+ i( j' f
U = - (G me m) / r$ t4 G. U5 N) _& B* e. b* x
' V% D$ v9 M' w$ mwhere G is 6.674e-11 Nmkg-2 ' B" O7 ^9 T3 V4 ?me is the mass of the planet 5.1e24 kg 7 a s/ l$ v- w. d/ n$ X" ]7 _
m is the mass of the space ship 5.9e4 kg F2 R3 p [! d/ f5 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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