The variation of force acting on a body with the displacement of body is shown in figure. Calculate work done by the force in the interval
(i) `0le x lem` (ii) `2m le x le 4m`

Explanation

Work done by the force `=` area under F x graph
(i) in interval `0 le xle 2m`
work done `=` area of `Delta `OAB
`=(1)/(2)xxOAxxOB=(1)/(2)xx2xx2=2J`
(ii) in interval `2m le x le 4m`
work done `=-` area of `Delta BCD`
`=-(1)/(2)xxBDxxDC=-(1)/(2)xx2xx4=-4J`