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A particle can move along x-axis initially. The particle is at rest at the origin and force  F=2ti^N   is applied on it. If mass of the particle is 1 kg, the work done  by the force in 2 second is

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a
8J
b
16 J
c
12 J
d
48 J

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detailed solution

Correct option is A

Acceleration of the particle, a=2t1m/s2=2t m/s2∴dvdt=2t⇒∫0vdv=2∫0ttdt⇒v=t2m/sAt t=2sec, v=m/s=4m/s∴By work−energy theorm, W=Kf−Ki=12×1×42−0=8J


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