A body moves from point A to B under the action of a force, varying in magnitude as shown in figure. Obtain the work done. Force is expressed in newton and displacement in meter.

Explanation

As work done W is equal area under the F-s curve, therefore,
`W_(AB)=W_(12)+W_(23)+W_(34)+W_(45)`
`=`area under `AK` + area under KL
`+` area under LM `-` area enclosed by MB
`=10(1)+{10(1)+(56xx1)/(2)}+(15xx1)/(2)-(15xx1)/(2)`
`10+10+2.5+7.5-7.5=22.5J`