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Two balls of equal mass and of Perfectly elastic material are lying on the floor. One of the balls with velocity V is made to strike the second ball. Both the balls after impact will move with a velocity
  • a)
    v
  • b)
    v/2
  • c)
    v/4
  • d)
    v/8
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two balls of equal mass and of Perfectly elastic material are lying on...
This is the perfectly inelastic collision/impact of the case of two bodies/balls as both the balls stick after the collision.
Perfect Inelastic Collision:
  • Two bodies move together with the same velocity.
  • The coefficient of Restitution will be 0.
  • Momentum is Conserved.
  • Kinetic Energy will not be Conserved.
​Calculation:
Given:
Let two balls A and B have mass mA, mB respectively, and their initial velocities are uA and uB. After the collision, they will move with the same velocity, vo.
Given that mass of both balls are same.
So  mA = mB = m
uA = V,  uB = 0
From the Concept of Momentum Conservation:
mAuA + mBuB = (m+m)vo
mV = 2mvo
vo = V/2
Both the balls after impact will move with velocity v/2.
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