There will be a decrease in the potential energy of the system if work is done upon the system by:

In the case of conservative forces,what physical quantity is represented by the negative value of the derivative of potential energy with respect to position?

Given below is the plot of a potential energy function $U(x)$ for a system,in which a particle is in one-dimensional motion,while a conservative force $F(x)$ acts on it. Suppose that $E_{\text{mech}} = 8 \, J$,the incorrect statement for this system is:

State the principle of conservation of mechanical energy in the presence of non-conservative forces.

Give examples of a conservative force and a non-conservative force.

The potential energy $U(x)$ of a particle is shown in the figure. Which of the following graphs represents the force $F(x)$ acting on it?