Q.
A force $F$ acting on an object varies with distance $x$ as shown here. The force is in $newton$ and $x$ in $metre$. The work done by the force in moving the object from $x = 0$ to $x = 6m$ is
A) $4.5\ J$
B) $13.5\ J$
C) $9.0\ J$
D) $18.0\ J$
Explanation
(b) Work done = Area enclosed by $F - x$ graph
$= \frac{1}{2}\ \times (3 + 6) \times 3 = 13.5\ J$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.