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A body of mass 3 kg is under a force which causes a displacement in it, given by s =t2 / 3 (in m). Find the work done by the force in 2 second

a
2j
b
3.8j
c
5 .2j
d
2.6 j

detailed solution

Correct option is D

W=∫02 F⋅ds=∫02 mads=∫02 m⋅d2sdt2⋅dsdt⋅dt=∫02 32323tdt=43∫02 tdt=43t2202=43×42=83=2⋅6J

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