Potential energy

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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 , we can calculate the potential in any position:

Work done

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.