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Mathematicsresear
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Homework Statement
Why is it that when the total energy of a system less than the max potential energy, it must equal to some potential energy in a potential energy diagram.
Homework Equations
The Attempt at a Solution
Total energy intersects multiple points in U(x) diagram. However, since potential energy is increasing before max U(x), and E< maxU(x), couldn't it be equal to some kinetic energy as well? However how I do know that that is the case? Why can't kinetic energy be greater at that point?