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
🎯 Perfectly Elastic Collision – Coefficient of Restitution
🔵 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.
🟢 Key Concept
In a perfectly elastic collision, kinetic energy is conserved, and there is no energy loss due to sound, heat, or deformation.
🔴 Formula
e = (relative speed after collision) / (relative speed before collision)
🟣 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.
✅ Conclusion
In a perfectly elastic collision, since kinetic energy is conserved and no energy is lost, the coefficient of restitution is exactly 1.