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?

Out of contact force and field force,which force is conservative and which force is non-conservative?

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

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

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:

If the potential energy for a particle is given by $U = K(x + y)$,where $K$ is a constant,what is the work done by the conservative force in moving a particle from $(1, 1)$ to $(2, 3)$?