Question

The force vs displacement graph of a moving body is as shown in the figure. What is the work done as the body moves from $x=5\text{m}$ to $x=35\text{m}$?

• A. $375\text{J}$
• B. $575\text{J}$
• C. $400\text{J}$
• D. $475\text{J}$

Answer 1

The correct option is A $375\text{J}$

The work done is given by the area under the force vs displacement graph.


From the graph, we can see that the work done for the displacement from $x=5$ to $x=35\text{m}$ is given by:

Area of $\Delta ABD$ + Area of $ANIC$ +
Area of $\Delta DGF$ + Area of $\Delta GHNF$ +
Area of $\Delta HIJ$ - Area of $\Delta JMLK$

$=\frac{1}{2}\times 10\times 10+20\times 10+\frac{1}{2}\times 20\times 5+5\times 20+\frac{1}{2}\times 30\times 5-20\times 5=50+200+50+100+75-100$
$=375\text{J}$