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

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" /> (A) 1/3 (B) 1/2 (C) 1/4 (D) 1/6

Tardigrade Admin · Accepted Answer

mu=mv+2mv ⇒ v=u/3 e=(2 u / 3 - u / 3/u)⇒ e=1/3

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?

$1/3$

$1/2$

$1/4$

$1/6$

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

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?

1/3

1/2

1/4

1/6