Two particles of equal mass m are moving with velocities v i ^ and v i ^ + j ^ 2 respectively. If the…

Two particles of equal mass m are moving with velocities vi^ and vi^+j^2 respectively. If the particles collide completely inelastically, then the energy lost in the process is
  1. 3mv24
  2. 2mv23
  3. mv23
  4. mv28

Solution

Conserving momentum

mvi^+mv2i^+v2j^=2mv1i^+v2j^

On solving 

v1=3v4 and v2=v4

Change in K.E. 

12mv2+12mv222-12(2m)9v216+v216

=3mv24-5mv28=mv28

Asked in: Practice

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