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How do we show that in the case of one dimensional elastic collision, the relative velocity of approach of 2 colliding bodies before collision is equal to the relative velocity of separation after collision?

How do we show that in the case of one dimensional elastic collision, the relative velocity of approach of 2 colliding bodies before collision is equal to the relative velocity of separation after collision?

Grade:11

1 Answers

Abishai M
30 Points
7 years ago
By using energy equation (1/2)m1v1^2+(1/2)m2v2^2=(1/2)m1v1`^2+(1/2)m2v2`^2We get v1-v2=v2`-v1`Where v1 and v2 are the velocities of m1 and m2 respectivelyAlso for elastic collision coefficient of restitution is 1 hence we get the above separationV1` and v2` are velocities after collision of m1 and m2 respectively

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