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If a potential energy can be associated with a force, we call the force conservative. Examples of conservative forces are the spring force and the gravitational force. If a potential energy can not be associated with a force, we call that force non-conservative. An example is the friction force.
Î´U = - W. In other words, work applied by a conservative force reduces the energy of configuration of a system (potential energy), converting it to kinetic energy. To see exactly how this conservation works, let's derive the expression for the potential energy of a system acted upon by gravity. Consider a ball of mass m dropped from a height h. The only force acting upon the ball is gravity, so we know the system is conservative, since we proved it last section.