The potential energy graph of a particle is g | vedclass

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(C) The relationship between force $F$ and potential energy $U$ is given by $F = -\frac{dU}{dx}$.For the interval $0 < x < a$,the potential energy $U(

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(C) The relationship between force $F$ and potential energy $U$ is given by $F = -\frac{dU}{dx}$.For the interval $0  0$. Thus,$F = -\frac{d}{dx}(kx) = -k$,which is a constant negative value.For $x > a$,the potential energy $U(x)$ is constant,so $\frac{dU}{dx} = 0$,which implies $F = 0$.Comparing this with the given options,the graph that shows a constant negative force for $0  a$ is graph $C$.

The potential energy graph of a particle is given. Find the corresponding force graph.

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