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The relationship between the force F and position x of a body is as shown in figure. Then what will be the work done in displacing the body from x = 1 m to x = 5 m ?

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30 J

15 J

25 J

20 J

answer is B.

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Detailed Solution

Work = Area enclosed by

(F - x) curve with x-xis.

$W = 1 \times 10 + 1 \times 5 - 1 \times 5 + \frac{1}{2} \times 1 \times 10$

$W = 10 + 5 - 5 + 5 = 15 J$

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