Question

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. If half of the kinetic energy is lost by impact, the value of coefficient of restitution is

(a) 1/2√2

(b) 1/√3

(c) 1/√2

(d) √3/2

Answer 1

Correct option (c) 1/√2

Explanation :

Let u₁ and v₁ be the initial and final velocities of ball 1 and u₂ and v₂ be the similar velocities for ball 2. Here, u₂ = 0 and v₁ = 0.