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What is the ratio KEafter/KEbefore of the total kinetic energy after the collisions occur to that before the collisions occur?

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Answer:

is called square of Coefficient of Restitution

Step-by-step explanation:

As we know that the coefficient of restitution is the ratio of the body after collision to the ratio of the body before collision.

Mathematically:


e=(v_f)/(v_i)

where:


v_f= relative velocity after collision


v_i= relative velocity before collision

also, in terms of Kinetic energy:


e=\sqrt{(KE_f)/(KE_i) }

where:


KE_f= relative kinetic energy after collision


KE_i= relative kinetic energy before collision

  • e=0 for perfectly elastic collision
  • 0<e<1 for real world inelastic collision
  • e>1 for the collision in which energy is released
  • e<1 for the objects passing through one another without fully engaging.
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