1.

What is coefficient of restitution? Give its values for elastic collision, inelastic collision and perfectly inelastic collisions.

Answer»

The ratio of relative velocity of separation after collision to the relative velocity of approach before collision.

Coefficient of restitution,

i. e., \(e = \frac{v_2-v_1}{u_1-u_2}\)

where u1 and u2 are initial velocities of the two colliding bodies and v1, v2 are their final velocities after collision.

(i) For elastic collision, velocity of separation is equal to the velocity of approach.

∴ e = 1

(ii) For inelastic collision, velocity of separation is not zero but always less than the velocity of approach.

∴ 0 < e < 1

(iii) For perfectly inelastic collision, the colliding bodies stick to each other and move with same velocity.

e = 0



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