The relationship between the force F and position x of body is as shown in figure. The work done in displacing the body from (`x = 1 m` to `x = 5 m`) will be
.

Options

A. `30 J`
B. `15 J`
C. `25 J`
D. `20 J`

Answer

D

Explanation

`W =` area under `F-x` graph
From `X=1` to `X=3`, force and displacement both are positive. Therefore work done is positive.
`W_(1) = + "Area" = + 20 J`
from `X =3` to `X =4`, force is negative but displacement is positive. Therefore work done is again positive.
`:. W_(2) =-"Area" =-5 J`
From `X=4` to `X=5`, force and displacement both are positive. Therefore work done is again positive.
`:. W_(3) = + "Area" = + 5 J`
`W_("Total") =W_(1) + W_(2) + W_(3) =20 J`.