Suppose two balls A and B of masses m and km are moving in the same direction with speeds We can find the coefficient of restitution Conservation of momentum gives If k*(2) – (1) gives Because e <=1, we must have We haveand
respectively, where
and 0
in terms of
and
and use the expression for e to conditions on
and
(1)
is the coefficient of restitution between A and B, then
(2)
hence
and