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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]
( k# d( q/ J) R9 b/ s# r2 u1 J: m3 k+ R, t
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
2 {# e \2 ]8 o5 n6 m& M; Q3 m: V+ R3 {. y- v/ l" p
6 |2 j, T+ r# y5 n* U
so far what I have done is used the equation for GPE& I( ?, w4 W3 H/ i# v& E9 _: o
which is ! M- i/ ^6 @- W5 H C- W7 u1 t
U = - (G me m) / r
* a( G5 b% a+ W% i6 m3 T8 Y& A1 S9 Y3 ]! Q4 X! W; q
where G is 6.674e-11 Nmkg-2" s# b) b# ^6 h$ u+ z+ S' d$ t6 r
me is the mass of the planet 5.1e24 kg h* i3 q7 S/ f( x3 E
m is the mass of the space ship 5.9e4 kg
+ ?; e& @+ R K$ D' sr 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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