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Question

A force acts on a 30 gm particle in such a way that the position of the particle as a function of time is given by x=3t4t2+t3, where x is in metres and t is in seconds. The work done during the first 4 seconds is


A

5.28 J

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B

450 mJ

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C

490 mJ

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D

530 mJ

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Solution

The correct option is A

5.28 J


v=dxdt=38t+3t2

v0=3m/s and v4=19m/s

W=12m(v24v20) (According to work energy theorem)

=12×0.03×(19232)=5.28 J


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