Question

a sphere collide inelastically with other sphere of the same mass at rest. the ratio of their speed after collision is
(A) ​

Answer 1

process

let u be the velocity of the first sphere

as the second is at rest so its velocity=0

e=coefficient of restitution

$v1= \frac{m(1 - e)u}{2m} \\ v1 = \frac{(1 - e)u}{2} \\ \\ v2 = \frac{m(1 + eu)}{2m} \\ v2 = \frac{(1 + e)u}{2} \\ \\ therefore \\ \frac{v1}{v2} = \frac{(1 - e)}{(1 + e)}$