Question

A force $F$ acting on a particle varies with the position $x$ as shown in figure. Find the work done by this force in displacing the particle from $x=0mtox=2m.$

• A. $-10J$
• B. $10J$
• C. $5J$
• D. $-5J$

Answer 1

The correct option is B $10J$

From $x=0mtox=2m.$, displacement of particle and force acting on the particle both are along positive x-direction. Therefore, work done is positive and given by the area under $F-x$ graph,
or $W=\frac{1}{2}\left(2\right)\left(10\right)=10J$