Question

Figure shows the force versus displacement graph of the particle. Find out the work done by the force to displace the particle from $x=0$ to $x=20\text{m}$.

• A. $100\text{Nm}$
• B. $200\text{Nm}$
• C. $150\text{Nm}$
• D. $250\text{Nm}$

Answer 1

The correct option is B $200\text{Nm}$

Work done, $\Rightarrow W=\int F.dx$
Work done by the force equals to the area under $F-x$ curve.0


Work done by the force to displace the particle from $x=0\text{m}$ to $x=20\text{m}$
$\Rightarrow$ Area $\text{I}$ + Area $\text{II}$ + Area $\text{III}$
$\Rightarrow W=\left(\frac{1}{2}\right(5+15)\times 5)+(5\times 15)+(\frac{1}{2}\times 10\times 15)$
$\therefore W=50+75+75=200\text{Nm}$