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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]
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 e; _ u1 D" M7 i) Q
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8 j L( U2 M. D; Bso far what I have done is used the equation for GPE
. k* `* F; _2 }4 [7 owhich is 5 P8 E9 z. a+ S; ]3 F
U = - (G me m) / r+ n- Q* o* u$ |/ e3 V
: q8 }; |- d, {* }% ]' i! vwhere G is 6.674e-11 Nmkg-2; P- z6 d' i8 A5 P, x+ S
me is the mass of the planet 5.1e24 kg & T. l9 k1 |& n
m is the mass of the space ship 5.9e4 kg
* g3 l; {8 U# Tr 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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