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

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(N/A) conservative force is a force with the property that the total work done in moving a particle between two points is independent of the path taken. Examples include: $1$. Gravitational force,$2$. Electrostatic force,$3$. Spring force (elastic force).
$A$ non-conservative force is a force for which the work done depends on the path taken. Examples include: $1$. Frictional force,$2$. Viscous force,$3$. Air resistance.

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The potential energy for a conservative system is given by:
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Where $a$ and $b$ are positive constants. The law of the force governing the system is:

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