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Q.

A force F acting on a particle varies with the position ‘x’ as shown in the graph. The work done by the force for displacement x=-a to x=2a is

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a

$\frac{3 a b}{2}$

b

$\frac{4 a b}{2}$

c

$\frac{2}{3 a b}$

d

$\frac{2}{4 a b}$

answer is A.

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Detailed Solution

Work done is area under F-X graph and X-axis.

$W = \frac{1}{2} \times 2 a \times 2 b - \frac{1}{2} \times a \times b = \frac{3 a b}{2}$

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A force F acting on a particle varies with the position ‘x’ as shown in the graph. The work done by the force for displacement x=-a to x=2a is