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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]4 q# D, {! V/ P7 S y" A* Z
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]6 E' l& t7 {' O
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so far what I have done is used the equation for GPE
0 A" g1 @$ {( ^# @0 V, Wwhich is : C% S* q+ j( }+ I& t. V' Y6 @0 I
U = - (G me m) / r
+ P4 ?7 ]9 x: X# p. l% I( o; ]' \ `/ y: u) e
where G is 6.674e-11 Nmkg-2
+ L+ Q$ L* c: K: u7 f0 P; Rme is the mass of the planet 5.1e24 kg 8 k9 H9 {* T; Q& m; R1 ^
m is the mass of the space ship 5.9e4 kg
- M: W+ k8 t6 G! q& V" Y3 N+ Qr 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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