Two identical smooth spheres collide head-on in one dimension

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Two identical smooth spheres collide head-on in one dimension. One sphere moves with speed

u

and the other is at rest. If the coefficient of restitution is

e

, what fraction of the initial kinetic energy of the system is lost during the collision? (a)

1-e

(b)

\dfrac{1}{2}(1-e^{2})

(c)

\dfrac{1}{2}(1+e^{2})

(d)

1-e^{2}