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Q.

A body of mass M starts moving from rest along x-axis so that its velocity varies v=as Where a is constant and s is the distance covered by the body. The total work done by all the forces  acting on the body in the first second after the start of the motion is

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a

12Ma4t2

b

4Ma4t2

c

18Ma4t2

d

16Ma4t

answer is C.

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Detailed Solution

v=as ⇒dsdt=as ⇒dss=adt ⇒2s=at ⇒s=a2t24 F=Mvdvds=Masa2s=Ma22 ∴Work done=Ma22×a2t24=18Ma4t2
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