When a conservative force does positive work on a body,

If $F = 2x^2 - 3x - 2$,then choose the correct option.

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

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:

Write a few remarks on conservative forces.

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: