Energy conversion efficiency of each bounce

AI Thread Summary
The discussion focuses on calculating the energy conversion efficiency of a ball dropped from a height of 10 meters that rises to 2 meters after three bounces. To determine efficiency, one must define it as the ratio of kinetic energy before a bounce to potential energy after the bounce. The kinetic energy at the moment before the bounce can be compared to the potential energy at the initial drop height. The conversation suggests using equations to relate these energy forms and emphasizes the need for assumptions regarding the conversion factor. Understanding these relationships is crucial for accurately calculating the energy efficiency of each bounce.
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1. i drop a ball (mass 20 grammes) from a height of 10 meters, after 3 bounces it rises to a height of 2 meters, what is the energy conversion efficiency of each bounce?



2. I've been stuck on this for the last hour and have nothing any help would be great.



3.the closest i got was doing 10× random percentages 3 times and seeing how close i got
 
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Can you define, as an equation, what "energy conversion efficiency" means for a single bounce? (hint: it involves the kinetic energy of the ball before and after a bounce, and a conversion factor). Can you relate the kinetic energy of the ball when it is at zero height just before a bounce with the potential energy when it earlier was at height h, but with zero speed? Can you utilize all this to relate the drop height from before the first bounce to the bounce height after the last bounce? What must you assume about the conversion factor in order to do this?
 
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