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The co-efficient of restitution of a perfectly plastic impact is
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
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The co-efficient of restitution of a perfectly plastic impact isa)0b)1...
Coefficient of restitution (e):
Coefficient of restitution or coefficient of the resilience of a collision is defined as the ratio of the relative velocity of separation after the collision to the relative velocity of the approach before the collision.


A perfectly inelastic collision also called a perfectly plastic collision is a limiting case of inelastic collision in which the two bodies stick together after impact.
Since both bodies stick together in a perfectly plastic collision. Therefore vA = vB, Thus e = 0
Properties of different types of collision are given in the table below:
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The co-efficient of restitution of a perfectly plastic impact isa)0b)1...


Co-efficient of Restitution in Perfectly Plastic Impact

The co-efficient of restitution (e) is a measure of how much kinetic energy is conserved during a collision. In the case of a perfectly plastic impact, the objects stick together after the collision, meaning there is no rebound or loss of energy.

Explanation of the Correct Answer

a) 0

In a perfectly plastic impact, the value of the co-efficient of restitution is 0. This is because all kinetic energy is lost during the collision, and the objects deform and stick together. This results in no rebound and no energy being conserved.

Comparison with Other Options

- Option b) 1: A co-efficient of restitution of 1 signifies a perfectly elastic collision where all kinetic energy is conserved. This is not the case in a perfectly plastic impact.
- Option c) 2: A co-efficient of restitution greater than 1 implies energy gain after the collision, which is not possible in a perfectly plastic impact.
- Option d) 3: Similarly, a co-efficient of restitution greater than 1 is not applicable to a perfectly plastic impact.

In conclusion, the correct answer for the co-efficient of restitution of a perfectly plastic impact is 0, as all kinetic energy is lost during the collision.
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