A force F acting on an object varies with

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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 $x = 6\,m$ is......$J$

A

$4.5$

B

$13.5$

C

$9$

D

$18$

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 $x = 6\,m$ is......$J$

Work done = Area enclosed by $F -x$ graph
$ = \frac{1}{2} \times (3 + 6) \times 3 = 13.5\,\,J$