In a one dimensional collision between two identical particles A and B , B is stationary and A has momentum…

In a one dimensional collision between two identical particles A and B, B is stationary and A has momentum p before impact. During impact B gives an impulse J to A. Then the coefficient of restitution between the two is

  1. 2JP-1
  2. 2JP+1
  3. JP+1
  4. JP-1

Solution

Let p1 and p2 be the momenta of A and B after collision.




Then applying impulse = change in linear momentum for the two particles

For B :J=p1          …(i)

For A :J=p-p2

Or p2=p-J        …(ii)

Coefficient of restitution e=P1-P2P

=p1-p+Jp

=J-p+Jp=2Jp-1

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