Question

A ball \(A\) collides with another identical ball \(B\) which is at rest. After collision, if the velocity of ball \(B\) becomes two times the final velocity of ball \(A\), then the coefficient of restitution is

• A. \[ \frac13 \]
• B. \[ \frac12 \]
• C. \[ \frac14 \]
• D. \[ \frac16 \]

Hint:

For collisions of identical masses, first apply conservation of momentum to relate the final velocities. Then use \[ e=\frac{\text{speed of separation}}{\text{speed of approach}}. \] This usually gives the answer in one or two steps.

Answer 1

The Correct Option is A