# Force from a Kinetic Energy Function

## Main Question or Discussion Point

Say you're given a function that represents the kinetic energy of some object, what would you have to do to derive the force from that function? I know that for motion along a straight line a conservative force F(x) is the negative derivative of its associated potential energy function U, but what is there to do if the function is one of kinetic energy?

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Simon Bridge
Homework Helper
Conservation of energy and the work-energy relation will be useful in such cases.
You usually will need more information than kinetic energy with position alone.
Do you have an example.

Note: For a conservative field, the force on an object at a position is the negative gradient of the potential energy function at that position. Motion does not have to be along a straight line.

You posted this same thing in the homework section.
I mean the OP, of course.

Ok, now we have an infinite loop.