Question

Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in figure. The work done on the particle during its displacement of $12m$ is

• A. 18 J
• B. 21 J
• C. 26 J
• D. 13 J

Answer 1

Answer: (A)

$wd=\int F\cdot dx$
which is area under $F-d$ curve
Area $=wd=2\times 6+\frac{1}{2}\times 2\times 6$
$=12+6$
$=18J$