Question

11. The co-efficient of restitution 'e', for an in elastic collision is -
(a) e = 1 (b) e = 0 (c) 0 <e<1 (d) e > 1​

Answer 1

Explanation:

We know,

$e = - \frac{v_1 + v_2}{u_1 - u_2} .....(1)$

By law of conservation of mass

We can conclude that..

$u_1 - v_1 = u_2 + v_2 \\ \\ v_1 + v_2 = u_2 - u_1$

Put the equation in (1)

$e = - \frac{(u_2 - u_1)}{u_1 - u_2} \\ \\ e = 1$

Note:

For elastic collision,

e = 1

For perfectly inelastic collision

e = 0

For any other collision

0 < e <1