The fraction of the kinetic energy of the ball lost during the collision is
.
The given parameters;
- <em>initial speed of the ball, = vi</em>
- <em>final momentum of the ball, Pf = ¹/₃Pi</em>
The initial and final momentum of the ball is calculated as;


The initial and final kinetic energy of the ball is calculated as;

The change in the kinetic energy is calculated as;

Thus, the fraction of the kinetic energy of the ball lost during the collision is
.
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