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Q.

The displacement of a body of mass 2 kg varies with time 't' as S = t2 + 2t, where S is in metres and 't'is in seconds. The work done by all the foces acting on the body during the time interval t = 2 s to t = 4 s is ______ J

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Detailed Solution

Given,

S = t2 + 2t,

V=dsdt=2t+2

We know that by the work energy theorem,

∆Wexternal force=∆K

∆K=m2(vf2-vi2)

∆K=22[2×4+2]2-[2×2+2]2=100-36=64J

Hence the correct answer is 64J.

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