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]% I- O7 Y; s- H% m: Z
2 K& { A! o6 h( E4 d[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 6 o; h! ]# u( r7 W8 c' J$ K1 w 7 k |2 T: P4 p) u! J& Z 8 s' C0 V2 R8 ?7 d" \7 \so far what I have done is used the equation for GPE * N7 s1 D% U0 X3 b$ n+ C, |: lwhich is . R7 [, t! a& ?% O
U = - (G me m) / r ' t1 R4 u8 T' T) a$ R. ?7 N. } 0 r5 t* ?% M* `1 Iwhere G is 6.674e-11 Nmkg-2+ q: h# d% ^7 l( a. `+ f
me is the mass of the planet 5.1e24 kg + e& M& W# g6 @ Wm is the mass of the space ship 5.9e4 kg ) n' Z5 e$ M* r6 k+ Y2 }
r 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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