Two objects collide head on in an elastic collision.  Assume they have equal masses but unequal velocities, such that the one coming in from the right is moving at 6 m/s toward the left, and the one coming in from the left is moving at  2 m/s toward the right.  After the collision, what is the velocity of the one that came in from the left?  (Use + to the right  and - to the left to distinguish direction in your answer.) Answer in  m/s.

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Two objects collide head on in an elastic collision.  Assume they have equal masses but unequal velocities, such that the one coming in from the right is moving at 6 m/s toward the left, and the one coming in from the left is moving at  2 m/s toward the right. 

After the collision, what is the velocity of the one that came in from the left?  (Use + to the right  and - to the left to distinguish direction in your answer.) Answer in  m/s.

Expert Solution
Step 1
  • During elastic collision kinetic energy of system conserved.

hence,

m1v1i2+m2v2i2=m1v1f2+m2v2f2                                                 1)where,m1=mass of object 1m2=mass of object 2v1i=initial velocity of an object 1v2i=initial velocity of an object 2v1f=final velocity of an object 1v2f=final velocity of an object 2

  • During elastic collision momentum of system conserved.

hence,

m1v1i+m2v2i=m1v1f+m2v2f                                                 2)

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