Why Does a Tic-Tac Bounce Higher on the Third Attempt?

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SUMMARY

The phenomenon of a tic-tac bouncing higher on its third attempt occurs when it strikes the ground at an angle, resulting in a second impact that generates torque in the opposite direction. This torque reduces the rotational kinetic energy of the tic-tac, allowing it to convert more energy into vertical motion, thus achieving a greater height on the third bounce. The analysis is grounded in the principles of energy conservation, specifically the relationship between potential energy, translational kinetic energy, and rotational kinetic energy. Further experimentation is encouraged to quantify the coefficient of restitution for a tic-tac.

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  • Understanding of energy conservation principles
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  • Basic knowledge of the coefficient of restitution
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  • Research the coefficient of restitution for various materials, including tic-tacs
  • Explore the effects of angle of drop on bounce height
  • Investigate the relationship between torque and rotational kinetic energy
  • Conduct experiments to measure energy loss due to heat and sound during impacts
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AlchemistK
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Ok, just a few minutes back, a tic-tac slipped from my hand and fell to the ground.

The second bounce was to a lower height than the first (which is expected because e*<1) but then as it took the third bounce, it rose to a height higher than the one reached by it than in the second bounce.

I had observed this phenomenon before in pebbles, but today I sat down and started thinking about it, I came up with the following result :

I noticed (after dropping the tic-tac about a hundred times) that the height of a bounce is higher than the one preceding it only in one particular case : when the tic-tac hits one end on the floor first and then hits the floor a second time before bouncing back.

To make sense of this, I followed energy conservation.
The tic-tac originally has a potential energy of mgh and when it bounces back to a new height, it has no transnational kinetic energy, some potential energy and most importantly: Rotational kinetic energy.
Now to make the tic-tac reach a max height, the rotational kinetic energy would have to be minimum.
So what actually happens is that when a tic-tac hits the floor a second time in the same cycle, it gets a torque in the opposite direction to what it got in the first hit in the same cycle, hence reducing the rotational and by conservation of energy, making it reach to a higher height.

That's what I came up with, is it even remotely correct to what is actually going on? Any other thoughts?*e = coefficient of restitution
 
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Hi AlchemistK! :smile:
AlchemistK said:
… So what actually happens is that when a tic-tac hits the floor a second time in the same cycle, it gets a torque in the opposite direction to what it got in the first hit in the same cycle, hence reducing the rotational and by conservation of energy, making it reach to a higher height.

Wow, that's amazing … I didn't know you could do that with tic-tacs! :biggrin:

Yes, that seems a correct analysis.

I wonder whether there's a similar manouevre in gymnastics?

I think you should do a few more experiments, and then publish!

eg, what's the coefficient of restitution for a tic-tac? :wink:
 
I have a counter reasoning too though, since the tic-tac hits for a second time, it looses more energy as heat and sound.
tiny-tim said:
what's the coefficient of restitution for a tic-tac? :wink:

How do I do that? With all the various uncontrollable variables like friction, angle of drop, and other things, it seems impossible.And also, I noticed that the phenomenon occurs more when the tic-tac is dropped at a certain angle, further supporting that the reasoning is correct because the tic tac would only hit twice if dropped at a certain angle.
 

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