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

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The correct answer is:
$13.5 \mathrm{~J}$
Work done by force $=$ Area under force- displacement graph.
$=3 \times 3+\frac{1}{2} \times 3 \times 3=9+4.5=13.5 \mathrm{~J}$
$=3 \times 3+\frac{1}{2} \times 3 \times 3=9+4.5=13.5 \mathrm{~J}$
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