First slide
Concept of potential energy
Question

A particle is placed at the origin and a force F=kx is acting on it (where k is positive constant). If  U(0)=0, the graph of  U(x) versus x will be (where U is the potential energy function)

Moderate
Solution

 U=  Fdx=  kxdx=kx22
This is the equation of parabola symmetric to U axis in negative direction

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