(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 $C$.

Class 11 Physics Work, Energy, Power and Collision Conservative and Non-Conservative forces and Potential Energy

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

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Class 11

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Work, Energy, Power and Collision

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Conservative and Non-Conservative forces and Potential Energy

Which quantity is obtained by taking the negative derivative of potential energy with respect to displacement in the case of a conservative force?

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$Assertion$ : Frictional forces are conservative forces.
$Reason$ : Potential energy can be associated with frictional forces.

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If $F = 2x^2 - 3x - 2$,then select the correct statement.

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The potential energy of a particle varies with distance $x$ as shown in the graph. Select the wrong statement.

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The variation of force $F$ acting on a body moving along the $x$-axis with respect to its position $(x)$ is shown in the figure. The body is in a stable equilibrium state at:

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

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Which quantity is obtained by taking the negative derivative of potential energy with respect to displacement in the case of a conservative force?

$Assertion$ : Frictional forces are conservative forces.$Reason$ : Potential energy can be associated with frictional forces.

If $F = 2x^2 - 3x - 2$,then select the correct statement.

The potential energy of a particle varies with distance $x$ as shown in the graph. Select the wrong statement.

The variation of force $F$ acting on a body moving along the $x$-axis with respect to its position $(x)$ is shown in the figure. The body is in a stable equilibrium state at:

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$Assertion$ : Frictional forces are conservative forces.
$Reason$ : Potential energy can be associated with frictional forces.