In this collision
Coefficient of restitution 0 < e < 1
As
The loss in kinetic energy appears in other forms, such as heat, sound etc.
Ex- Collision between two billiard balls. All majority of collision belong to this category.
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The sum of the total kinetic energy before collision is not equal to the sum of the total kinetic energy after collision
momentum is conserved whereas KE is not conserved as in elastic collision