Question

A force `F=(2+x)` acts on a particle in x-direction where F is in newton and x in metre. Find the work done by this force during a displacement form 1. 0 m to x = 2.0 m.

Answer 1

Correct Answer - C
As the force is variable, we shall find the work done in a small dispacent from x to x + dx and then intrgrate it to find the total work done in thes small displacement is.
`dW=F dx=(2+x)dx`
Thus,
`W=int_(2.0)^(1.0)dW = int_(1.0)^(2.0)(2+x)dx`
`=[2xxx2/2]_(1.0)^(2.0)=3.5J`.