When a conservative force does positive work on a body,then the

What are conservative force,non-conservative force,conservative field,and non-conservative field?

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

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: In a central force field,the work done is independent of the path chosen.
Reason $R$: Every force encountered in mechanics does not have an associated potential energy.
In the light of the above statements,choose the most appropriate answer from the options given below:

$A$ body is moved along a closed loop. Is the work done in moving the body necessarily zero? If not,state the condition under which work done over a closed path is always zero.

$A$ particle moves in a one-dimensional field with total mechanical energy $E$. If the potential energy of the particle is $V(x)$,then: