Using Conservation of Energy to Analyze a Potential Energy Graph

AI Thread Summary
The discussion focuses on analyzing a potential energy graph using the conservation of energy principle. The user is struggling to relate time to the graph and connect force, mass, and acceleration equations. They express frustration with deriving velocity from the potential energy and determining the turning point of motion. Key questions include how to calculate velocity at various positions and what type of motion to expect based on these calculations. The conversation emphasizes the need to integrate energy concepts with kinematic equations for a comprehensive understanding.
chuuke
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Homework Statement


I'm trying to figure out how to do D) and relate time to this potential energy graph.
Screenshot (27).png


Homework Equations


All I really know is that F = -dU/dx

The Attempt at a Solution


I tried to do something with F = ma
and a = d2x/ dt2
and then set the - derivative of U(x) equal to the above equation
but I can't really get an answer, and am quite frustrated cause I don't know how to go about answering this.
 

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You need to use the conservation of energy. When released from B, what is going to be the velocity at any point? How is that related to position?

Also, what position do you have as the turning point? Based on that, what kind of motion do you expect?
 

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