# The coefficient of restitution for perfectly inelastic bodies is

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The coefficient of restitution for perfectly inelastic bodies is
5. Between 0.5 and 1

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Correct Answer - Option 1 : 0

CONCEPT:

• Perfectly elastic collision: A perfectly elastic collision is defined as one in which there is no loss of kinetic energy and momentum of the system is conserved  in the collision.
• Inelastic collision: A inelastic collision is defined as one in which there is a loss of kinetic energy and momentum of the system is conserved in the collision.
• Coefficient of restitution is the ratio of relative velocity after impact to the relative velocity before impact.

Coefficient of restitution (e)

${\rm{e}} = \frac{{{\rm{Relative\;velocity\;after\;collision}}}}{{{\rm{Relative\;velocity\;before\;collision}}}} = \frac{{{{\rm{v}}_2} - {{\rm{v}}_1}}}{{{{\rm{u}}_1} - {{\rm{u}}_2}}}$

• For perfectly elastic collision, e = 1
• For inelastic collision, e < 1
• For a perfectly inelastic collision,e = 0

EXPLANATION:

As from the above discussion, we can say

• The coefficient of restitution for perfectly inelastic bodies is: e = 0

​So option 1 is correct.