Calculate elasticity of collision from kinetic energy loss?

AI Thread Summary
To calculate the elasticity of a bouncing ball based on dropped and rebound heights, one must first understand the concept of the coefficient of restitution, which measures the elasticity in collisions. The kinetic energy loss can be calculated using the formula K = 1/2 mv², but further steps require a clear definition of elasticity. The discussion emphasizes the importance of defining elasticity to solve the problem effectively. A helpful resource provided is the coefficient of restitution, which can guide the calculations. Understanding these concepts is crucial for determining the elasticity between the ball and the floor.
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Homework Statement


After a lot of searching I can't seem to find a way to solve this. Basically, for a bouncing ball, if I know the dropped height and rebound height in a vacuum. How do I calculate the elasticity between the ball and the floor?

Homework Equations


K = 1/2 mv2

The Attempt at a Solution


I did a lot of searching online...but I still have no idea. I tried to calculate kinetic energy loss, but what's after that?
 
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Any help is appreciated, thank you!
 
What definition do you have for elasticity?
 
haruspex said:
That doesn't define elasticity. You need a definition to have any hope of answering the question.
The concept of a coefficient of elasticity arises in many diverse subjects. In collisions, the more usual term is the coefficient of restitution: http://en.wikipedia.org/wiki/Coefficient_of_restitution. See if that helps.
Ah, this is exactly what I m looking for, thank you so much!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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