First slide
Work
Question

The displacement of a body of mass 10kg moving on a smooth horizontal surface is given by  s=t44. The work done in  first 2 seconds is

Moderate
Solution

s=t44v=t3----(1)                     ds=t3dt----(2) a=3t2W=Fds=mads=02m3t2t3dtW=10×302t5dt =30×t6602=5×64=320J

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