Question

Force acting on a particle varies with displacement as shown in figure. The workdone by this force on the particle from $x=-8mtox=+8m$

• A. $60\text{J}$
• B. $-60\text{J}$
• C. $100\text{J}$
• D. $-100\text{J}$

Answer 1

The correct option is A $60\text{J}$

Work done (w) = Area under F - x graph
= Area of $I$ + Area $II$
+ Area of $III$+ Area of $IV$
$=\frac{1}{2}\times \left(4\right)\times (-10)+\frac{1}{2}\times \left(4\right)\times \left(10\right)+\left(4\right)\times 10+\frac{1}{2}\times \left(4\right)\times 10=\frac{3}{2}\times 4\times 10=60\text{J}$