Question

A particle moves under the effect of a force F=Cx from x=0 to x=x1.The work done in the process is (treat C as a constant)

Answer 1

The force given here is dependent on the position of the particle. So, we will have to find the work done on the particle for a small displacement and then integrate it to and the network is done by the force over the displacement from x = 0 to x = x

We have, F = cx.

For a small displacement dx the work done on the particle is,