Coefficient of Restitution is between 0 and 1

Theorem

Let two solid bodies $B_1$ and $B_2$ be in collision.

Let $e$ be the coefficient of restitution of that collision.

Then:

$0 \le e \le 1$


Proof


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Sources

  • 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): coefficient of restitution
  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): coefficient of restitution