three balls of masses M1 M2 and M3 are lying in a straight line the first ball is moving with a certain velocity so that is strikes the second ball directly and itself come to rest the second ball collides with the third and it is itself come to rest if we be the coefficient of restitution for each ball in choose the correct relation
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Using the law of conservation of momentum.
m1v1 = m2v2 and
m2v2 = m3v3
Now the equation for coefficient of restitution: can be written as:
v2 = ev1 and
v3 = ev2
Thus the relation between each ball can be find out by using the conservation of momentum equation as.
m1v1 = m2v2
m1/m2 = v2/v1
Now by putting the value of V2 the equation becomes.
m1/m2 = e
m2/m3 = v3/v2
m2/m3 = e
Thus we can say that
M1/M2 = M2/M3 = e
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