Coefficient of restitution of a ball question

Thread starter Jeven
Start date May 27, 2016
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Ball Coefficient Coefficient of restitution Height

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The coefficient of restitution (COR) of a ball is independent of the drop height because it primarily depends on the material properties and deformation characteristics during impact. As the ball falls from greater heights, it eventually reaches terminal velocity, leading to a constant collision speed that does not affect the COR. The COR is an approximation that holds true within certain deformation limits, where elastic and inelastic behaviors can be observed. Therefore, regardless of the height, the COR remains consistent as long as the material properties and impact conditions are unchanged. Understanding these principles clarifies why the COR is not influenced by the height from which the ball is dropped.

May 27, 2016

Jeven

Why is the coefficient of restitution of a ball independent of the height it is dropped from?

A mathematical explanation would be best. Thank you.

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May 27, 2016

nasu

Homework Helper

I suppose is just an approximation, for deformations within some limits.
Besides, for heights larger than some limit, the ball reaches terminal speed in free fall and the collision speed does not change after that.
But some context will help.

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