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created: 2022-07-01 22:49:00
modified: 2022-07-01 22:56:44
For conservative force fields, we can introduce the potential energy as the function whose gradient is the opposite of the force:
By choosing a reference point
Then, the work done between any two points is easy to get from the potential:
Which is also the negative of the change in kinetic energy due to the work theorem.