Question

A force $F$ acting on an object varies with distance $x$ as shown in the figure. The force is in $N$ and $x$ in $m$. The work done by the force in moving the obiect from $x=0$ to $x = 6 \,m$ is

• A. 18.0 J
• B. 13.5 J
• C. 9.0 J
• D. 4.5 J

Answer 1

Answer: (B)

13.5 J

Answer 2

Work done by force = Area under force displacement graph.
$=3 \times 3+\frac{1}{2} \times 3 \times 3=9+4.5=13.5 \,J$