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A force F acting on an object varies with distance r 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

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4.5 J

13.5 J

9.0 J

18.0 J

answer is B.

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Detailed Solution

Work done = Area enclosed by F-x graph

= $= \frac{1}{2} \times (3 + 6) \times 3 = 13.5 J$

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