what are conservative and non -conservative forces.
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A conservative force is one for which the work done is independent of path. Equivalently, a force is conservative if the work done over any closed path is zero.
A non-conservative force is one for which the work done depends on the path.
For a conservative force, the infinitesimal work is an exact differential. This implies conditions on the derivatives of the force’s components.
The component of a conservative force, in a particular direction, equals the negative of the derivative of the potential energy for that force, with respect to a displacement in that direction.
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