Two identical metallic spheres collide head-on on a smooth horizontal track

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

Problem

Two identical metallic spheres collide head-on on a smooth horizontal track. Sphere A of mass

2\,\text{kg}

moves at

6\,\text{m\,s}^{-1}

towards sphere B of mass

2\,\text{kg}

moving at

-3\,\text{m\,s}^{-1}

. After the impact, sphere A is observed to move at

-1\,\text{m\,s}^{-1}

. Determine the coefficient of restitution between the spheres. (a)

\dfrac{2}{3}

(b)

\dfrac{5}{9}

(c)

\dfrac{1}{3}

(d)

\dfrac{5}{6}