We now consider how we can find a conservative force if we are given the associated potential energy function. According to equation, an infinitesimal change in potential energy *dU *is related to the work done by the conservative force *Fc *in an infinitesimal displacement d*s* as follows

*dU *= **-**

In one dimension, the above equation reduces to** dU = **

Let us see how equation can be used for the common known cases:

For gravitational potential energy,

For spring potential energy,

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