A ball of mass `m` moving at speed `v` makes a head on collision with an identical ball at rest. The kinetic energy of the balls after the collision is `3//4th` of the original. Find the coefficient of restitution.
Text Solution
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To solve the problem, we need to find the coefficient of restitution \( e \) after a head-on collision between two identical balls, where one ball is initially at rest and the other is moving with speed \( v \). The kinetic energy after the collision is given to be \( \frac{3}{4} \) of the original kinetic energy.
### Step-by-Step Solution:
1. **Initial Kinetic Energy Calculation**:
The initial kinetic energy \( KE_{initial} \) of the moving ball is given by:
\[
KE_{initial} = \frac{1}{2} m v^2
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