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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.
  1. 20 J
  2. 12 J
  3. 10 J
  4. 14 J


Solution

The correct option is B 12 J
Fundamental 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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