Work by a conservative force

^Work by a conservative force

Work done by a conservative force in moving a body from one point say ‘A’ to other point say ‘B’  is always equal to

loss of potential energy between same points i.e.,

Here the negative sign implies that a conservative force is always directed in the direction of decreasing

potential energy (i.e. increasing stability).Dropping the integral sign & the dot product in the LCF, we can write,

i.e. a conservative force is equal to the negative of potential energy gradient.

In vector form the above result can be expresses as

For one dimensional force we can write 

 

 

Rate this post
error: Content is protected !!