Physics Demo Number: 002

Approximate Run Time: 5 min

Elastic Collision of Unequal Masses

Demo Description

Utilizing the Lemmon Impact Apparatus:

If either mass is pulled back and allowed to swing into the other, the one initially at rest will return to rest upon their second and subsequent even-numbered collisions. ( Note that this is true independent of mass ratio.)



Scientific Principles

  • Conservation of Momentum

  • Conservation of Energy

  • Time Reversal Invariance

Equipment

  • Lemmon Impact Apparatus (Mass ratio M = 3m )

Equipment Location

  • [F-1-4]

Instructions

The mass ratio is M=3m. Commonly known as the LEMMON IMPACT APPARATUS.

If either mass is pulled back and allowed to swing into the other, the one initially at rest will return to rest upon their second and subsequent even-numbered collisions. (Think time-reversal invariance.)

The significance of the mass ratio of M=3m is that if the small mass is allowed to collide with the big one (when the big one is at rest initially), then on first collision they both move in opposite directions with a speed of half the initial speed of the small one. Then on their second collision, the big mass is back at rest and the small one moves out at its original speed.

Hence one has speed halving and doubling on successive collisions, which is judged as pleasing to our eyes according to Professor Lemmon.


 
Writeup created by David A. Burba
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