ISRO Mechanical & Aerospace 2014 - Question 16

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Topic: Engineering Mechanics

For two bodies having direct impact, co-efficient of restitution is given by

  • A. Velocity of separation / Velocity of approach
  • B. Velocity of separation / Velocity of approach
  • C. Initial velocity of the body / Final velocity of the body
  • D. None of the above

Answer: B. Velocity of separation / Velocity of approach

Explanation: The coefficient of restitution (e) is defined as the ratio of the relative velocity of separation after collision to the relative velocity of approach before collision. Mathematically, it is given by e = (v2 - v1) / (u1 - u2), where u1 and u2 are the initial velocities and v1 and v2 are the final velocities of the colliding bodies. Note: Options (a) and (b) appear identical in the source text, but the correct mathematical definition remains the ratio of separation velocity to approach velocity.

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