Answer to Question #256096 in Mechanics | Relativity for Pranali

Question #256096

On a frictionless horizontal air table, puck A (mass 0.246 kg) is moving to the right toward puck B (mass 0.667 kg), which is initially at rest. Puck A collides inelastically with puck B. After the collision, puck A has velocity 0.207 m/s to the left, and puck B has velocity 0.532 m/s to the right.

  1. What was the speed of puck A before the collision?
  2. Calculate the initial kinetic energy of puck A.
  3. Calculate the change in total kinetic energy of the system that occurs during the collision.
1
Expert's answer
2021-10-25T10:03:08-0400

1) Use momentum conservation:


mv=mvm+MvM,v=1.235 m/s.mv=-mv_m+Mv_M,\\ v=1.235\text{ m/s}.

2) The initial energy:


Ke=0.5mv2=0.188 J.Ke=0.5mv^2=0.188\text{ J}.

3) The change is the difference between the initial energy and final energies of both pucks:


=KeKemKeM=0.0883 J.∆=Ke-Ke_m-Ke_M=0.0883\text{ J}.


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