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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Mar 2008 18:58:18 IST
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v1 = velocity of m1
v2 = velocity of m2
conserving momentum--
m1 v1 = m2 v2 -----------1
conserving energy --
m1 v1 2 / 2 + m2 v2 2 / 2 = Gm1 m2 / r ---------2
putting value of v2 from 1 in 2 we get --
v1 2 ( m1 + m2) / m2 = 2G m2 / r
v1 = m2  [ 2G / (m1 + m2) r ]
similarly putting value of v1 from 1 in 2 we get --
v2 = m1  [ 2G / (m1 + m2) r ]
relative velocity = v1 + v2 since they are in opposite directions
v r = [ 2G / (m1 + m2) r ] * (m1 + m2)
= [ 2G (m1 + m2) / r ]
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Impossible To be Impossible is Impossible |
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