What can we learn from a bouncing ball experiment?

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The bouncing ball experiment demonstrates a linear relationship between drop height and bounce height, allowing for predictions using the equation y=mx+c. Further exploration could include analyzing the potential and kinetic energy of the ball at each bounce to deepen understanding of energy conservation. Additionally, investigating why the bounce height decreases over time can provide insights into the physics involved. The concept of the Coefficient of Restitution is also relevant, as it quantifies the energy loss during bounces. This experiment effectively ties into Newton's Laws, particularly the Third Law, highlighting the interactions between forces.
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".
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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