What can we learn from a bouncing ball experiment?

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SUMMARY

The forum discussion centers on a bouncing ball experiment where participants dropped a ball from various heights and recorded the corresponding bounce heights, resulting in a linear graph. The equation derived from the experiment is y=mx+c, allowing for the prediction of bounce heights based on initial drop heights. Participants are encouraged to explore further applications of calculus, investigate the relationship between potential and kinetic energy during bounces, and examine the relevance of Newton's Third Law and the Coefficient of Restitution in this context.

PREREQUISITES
  • Understanding of linear equations (y=mx+c)
  • Familiarity with Newton's Laws of Motion
  • Basic knowledge of potential and kinetic energy concepts
  • Awareness of the Coefficient of Restitution
NEXT STEPS
  • Explore the relationship between potential and kinetic energy in bouncing balls
  • Research Newton's Third Law and its application to bouncing objects
  • Investigate the Coefficient of Restitution and its impact on bounce height
  • Analyze the mathematical reasoning behind the reduction in bounce height over time
USEFUL FOR

Students studying physics, particularly those in A-Level courses, educators seeking practical experiments, and anyone interested in the mathematical and physical principles of motion and energy.

iamBevan
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Hi guys - recently in college we have done an experiment where we drop a ball from 10 different heights, and recorded the bounce height. Obviously all the results were tabulated, and then a graph produced. It turns out that the graph is linear, and I have worked out y=mx+c, so am able to predict the bounce height with just the initial height.

I was just wondering if there is anything else I can explore from the results, other than just predicting the bounce height? Is there anything I can do that would test my calculus?

(I'm living in the UK, so when I say college I mean A-Levels)

Thanks!

P.S. Also I am wondering how this fits in with Newton's Laws. I'm guessing his Third Law has particular relevance here?
 
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Bringing this from the older thread on General Physics:

How about the Potential and Kinetic energies (if you haven't done that already) of the ball at every bounce?

Edit: Perhaps you can also try to reason out simple stuff like why the bounce height keeps reducing (mathematically.) Now this is just off the hand, I haven't though about it fully myself; but I expect you can do it.
 
You might also want to look up the concept of "Coefficient of Restitution".
 

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