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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.
1 The equation for calculating the potential energy of a spring is PE =  * k * x2, where k is the spring constant and x is the amount of compression.  The concept of potential energy goes all the way back to Ancient Greece and the philosopher Aristotle.