From the previous section we know that the work done by a conservative force in terms of the change in potential energy is given by

**D***U ***= - WC (i)**

where

From the

Where

If a particle is subject to only

Thus, the equation (i) becomes,

The equation (ii) tells us that the

That is, there is no change in the sum of

The quantity

According to equation (iii), when only conservative forces act, the change in total mechanical energy of a system is zero, in other words, If only conservative forces perform work

Alternatively, the equation (iii) may be written as

Since

we get

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