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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]
R, Y* m$ }7 Q- Z1 V! F
/ m- x' p4 P/ f' m[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]6 ^: e6 A! H' _$ e# D
1 c+ v; N. P/ [9 r4 W9 i8 U
/ N+ L/ L) l: |% Cso far what I have done is used the equation for GPE5 G# }6 {/ _# k6 G, v# j
which is
) m* o' e( W1 P) o& A: bU = - (G me m) / r7 V2 Y2 K& g! W* ?5 V
% {. G# \. Z& T4 m1 E
where G is 6.674e-11 Nmkg-2
5 @' |, \5 _" s: L& i) bme is the mass of the planet 5.1e24 kg
# Z# v) U, u3 F4 ]9 a' Em is the mass of the space ship 5.9e4 kg
3 ^; Q s% Q% n+ W& }1 Kr 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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