# Physics Assignment Help With Conservative Forces and Potential Energy Functions

## Conservative Forces and Potential Energy Functions

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 = **

**-**

*Fxdx***Thus,**

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

For gravitational potential energy,

*Ug*=*mgy**Fy*=**-**

For spring potential energy,

*US*=*kx*2*Fx*= = -*kx**A conservative force can be derived from a scalar potential energy function*

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