For a perfectly elastic collision e – [Free] B27
For a perfectly elastic collision e 0.5 1 0 0.75
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Answer
π― Perfectly Elastic Collision β Coefficient of Restitution
π΅ Definition
The coefficient of restitution (e) is defined as the ratio of the relative speed after collision to the relative speed before collision, measured along the line of impact.
π’ Key Concept
In a perfectly elastic collision, kinetic energy is conserved, and there is no energy loss due to sound, heat, or deformation.
π΄ Formula
e = (relative speed after collision) / (relative speed before collision)
π£ Perfectly Elastic Collision Case
For a perfectly elastic collision:
e = 1
This indicates that the relative speed of separation is equal to the relative speed of approach.
β Conclusion
In a perfectly elastic collision, since kinetic energy is conserved and no energy is lost, the coefficient of restitution is exactly 1.