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Question

# The graph shown below represents the variation of the force as a function of position for a body. Find out the work done by the force in moving the body from x=3 m to x=7 m.

A
12 J
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B
20 J
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C
10 J
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D
14 J
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Solution

## The correct option is A 12 JFundamental formula of workdone by a force (having constant direction) is: W=∫F ds hence, W= area under the (F vs S) graph. Work done by force in moving the body from (x=3 m) to (x=7 m)= will be area under the curve between (x=3 m) to (x=7 m) ∴W=(2×1)+(12×(2+4)×2)+(4×1) ∴W=2+6+4=12 J

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