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A force F = 2 + x (N) acts on a particle in x-direction, where is x in meter. What is work done by the force during a displacement from x = 1 m to x = 2 m?

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a

6.2 J

b

4.8 J

c

3.5 J

d

9.3 J

answer is C.

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Detailed Solution

dW=Fdx,dW=(2+x)dx W=∫12 (2+x)dx=2x+x2212=(4+4/2)−2+12=3.5J

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