First slide

Collisions

Question

A small ball moves towards right with a velocity v starting from A. It collides with the wall and returns back and continues to and fro motion. If the average speed for the
first trip is (2/3)v, the coefficient of restitution of impact (in 10^-1) is_________.

Moderate

Solution

The ball moves from A to B with a speed v₁ = v and returns from B to A with speed v₂ $\Rightarrow$ v₂= ev₁
$\begin{array}{l} v_{a v} = \frac{A B + B A}{\frac{A B}{v_{1}} + \frac{B A}{v_{2}}} = \frac{2 v}{3} \\ \Rightarrow \frac{2 v_{1} v_{2}}{v_{1} + v_{2}} = \frac{2 v}{3} \\ Solve to get e = 0.5 = 5 \times 10^{- 1} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App