1.

A force given by the relation `F=8t`, acts on a body of mass `2 kg`, initialiy at rest. Find the work done by this force on the body during first `2` seconds of its motion.A. `64J`B. zeroC. `-64J`D. none of these

Answer» `F=3t`
`m.(dv)/(dt)=8t`
`m int_(0)^(v)dv=8 int_(0)^(t) dt`
`mv=4t^(2)`
or `m(dx)/(dt)=4t^(2)rArrdx=(4t^(2))/(m)dt=2t^(2)dt`
`W=intFdx=int_(0)^(2)(8txx2t^(2))dt=64J`


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