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] / s" r5 ?0 c* q7 b$ f2 Y8 J/ _& I3 G" y& [" f# V& }) y
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] : V7 p8 K- Z& ?2 U9 n5 A f7 t0 W: N' p1 x; O+ ?) C
# ~; y1 \2 `* H) S1 ]. v8 Gso far what I have done is used the equation for GPE 8 K( \0 l+ W6 K* ?& y3 I! f3 z fwhich is 9 e' C# j8 _0 Y' \3 o( `5 B" _. J
U = - (G me m) / r5 z7 `( B1 e0 u# w' s
; ~' m" R8 [8 s7 m9 z" S! Pwhere G is 6.674e-11 Nmkg-2 ! M( B+ Q7 Z; hme is the mass of the planet 5.1e24 kg / s+ y! Z1 m* \" d( ^) Z
m is the mass of the space ship 5.9e4 kg / u5 ^' r/ C1 d3 K4 ?! j3 H; Nr 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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