The graph of potential energy U(x) versus dis | vedclass

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(A) The relationship between conservative force $F$ and potential energy $U(x)$ is given by $F = -\frac{dU}{dx}$.This means the force is equal to the

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(A) The relationship between conservative force $F$ and potential energy $U(x)$ is given by $F = -\frac{dU}{dx}$.This means the force is equal to the negative of the slope of the $U(x)$ versus $x$ graph.For the region $OA$ (from $x=0$ to $x=P$), the graph is a straight line with a positive constant slope. Let the slope be $k > 0$. Thus, $F = -k$, which is a negative constant.For the region $AB$ (for $x > P$), the graph is a horizontal straight line. The slope of this line is $0$. Thus, $F = -(0) = 0$.Comparing this with the given options, the graph that shows a negative constant force for $x  P$ is represented by option $A$.

The graph of potential energy $U(x)$ versus distance $x$ is shown in the following figure. The force $F$ versus distance $x$ graph will be represented by (assume that the force is conservative):

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