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  4. Ball 1 collides with an another identical ball 2 at rest as shown in figure. For what value of coefficient of restitution e , the velocity of second ball becomes two times that of 1 after collision? <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-gwhmiqr2bvjmwjrl.jpg />

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Q. Ball $1$ collides with an another identical ball $2$ at rest as shown in figure. For what value of coefficient of restitution $e$ , the velocity of second ball becomes two times that of $1$ after collision?
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$mu=mv+2mv$
$\Rightarrow v=u/3$
$e=\frac{2 u / 3 - u / 3}{u}\Rightarrow e=1/3$