The coefficient of restitution is defined as the ratio of relative speed of separation between the two bodies after the collision to relative speed of approach between the two bodies before collision along the line of impact.
e = . In general
If the collision is elastic e = 1. This statement is equivalent to conservation of kinetic energy. Hence do not use these two equations simultaneously.
If collision is inelastic 0 < e < 1. There is some loss of kinetic energy.
If the collision is perfectly inelastic, e = 0, i.e. the bodies stick together after the collision. There is maximum loss of kinetic energy.
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