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conservative force and the corresponding potential energy

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Which of the following forces is conservative?
(a)F=k(x,2y,3z) where k is a constant.
(b)F=k(y,x,0)(c)F=k(-y,x,0).

For those which are conservative, find the corresponding potential energy U, and verify by direct differentiation that F=-gadU.

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Solution Summary

The solution explains how to determine the force is conservative or not. Furthermore, the corresponding potential energy is calculated for the conservative force.

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