Initial height of a bouncing ball and energy lost

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Discussion Overview

The discussion revolves around the relationship between the initial height from which a racquetball is dropped and the energy lost during its bounces, as explored through a physics lab experiment. Participants are examining concepts related to gravitational potential energy and the coefficient of restitution, seeking to understand the underlying principles and connections between these variables.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant describes their experiment involving dropping a racquetball from various heights and measuring the energy lost during bounces, noting a linear correlation in their data.
  • Another participant suggests that the relationship found is represented by the equation of the line and recommends looking into the "coefficient of restitution" for further understanding.
  • A participant questions the relevance of the coefficient of restitution, noting its connection to kinetic energy and velocity rather than potential energy and height.
  • Another participant explains that the coefficient of restitution relates to initial kinetic energy after a bounce, which connects to final potential energy, hinting at conservation laws.
  • There is a suggestion for the original poster to review class materials for any relevant concepts that may relate to their findings.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the relationship between gravitational potential energy and the coefficient of restitution. There is no consensus on how these concepts are directly related, and the discussion remains unresolved regarding the specific connections between them.

Contextual Notes

Participants acknowledge that the relationship between the variables may depend on specific definitions and concepts taught in class, which are not fully detailed in the discussion. There is also an indication that the original poster's understanding may be limited by their current knowledge of the subject matter.

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I am doing a lab in my senior physics class (IB HL Physics 3-4) and I am very confused about a relationship that I found. For my experiment I dropped a racquetball from different heights and then used video analysis to find the height of the ball on its final bounce. I used this data to calculate the initial and final gravitational potential energy and then found the difference between these value to find the energy lost during the ball's bouncing. I graphed the initial height (x) and the difference in energy (y). I had a perfectly linearly correlated graph (r value of 1) with an equation of E=0.379h-0.006. Because the equation is so correlated I feel like there must be a relationship between these two variables, but I am yet to find it.

Can anyone help with this?

Thank you!
 

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Well your relationship is the equation of the line.
But it may help understand what you've discovered if you look up "coefficient of restitution".
 
Simon Bridge said:
Well your relationship is the equation of the line.
But it may help understand what you've discovered if you look up "coefficient of restitution".

For our labs we have to equate the equation we found for our graphs to one that we learned in class. I looked up the coefficient of restitution, but saw that it related more to kinetic energy and velocity than to potential energy and height. Does it relate to GPE as well?
 
The coefficient of restitution gives initial kinetic energy after the bounce... this will be related to the final potential energy. Hint: conservation laws.

However, the project suggests you are supposed to have learned something in class related to this.
Since I wasn't there, I don't know what you are supposed to have learned.
You should check you class material to see if anything stands out... it may be indirect.
 

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