Slope of Kinetic vs Potential(Spring)

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The discussion centers on understanding the significance of the slope in a graph plotting X^2max - X^2 against v^2, derived from a lab involving springs and a glider. The individual graphed the data but is uncertain about the interpretation of the slope. They have calculated total mechanical energy and changes in potential energy but remain confused about the correct placement of variables on the axes. Clarification is sought on whether the current setup with v^2 on the y-axis is appropriate. The thread emphasizes the need for guidance in interpreting the graph's slope in relation to kinetic and potential energy.
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Homework Statement


Been trying the last few hours to figure out what the slope of a kinetic vs potential graph means. I did a lab this past week dealing with springs and a glider. Was asked to graph a X^2max-x^2 vs v^2 graph. Made the graph but have no idea what the slope means.



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The Attempt at a Solution


Solved for total mechanical energy and change in potential energy and still do not know what slope means. Maybe I put them on the wrong x-y axis. Right now I have v^2 on the y axis. Can somebody please point me in the right direction.
 

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  • X(max)^2- x(m)^2 vs vs V^2.JPG
    X(max)^2- x(m)^2 vs vs V^2.JPG
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