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If force F is applied on a body and it m...

If force F is applied on a body and it moves with a velocity v, the power will be

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`m(dv)/(dt)=F-ilB`….(1) `" " i=(Blv)/(R+r)`……(2)
`m(dv)/(dt)=F-(B^(2)l^(2)v)/(R+r)`
let `K=(B^(2)l^(2))/(R+r) implies int_(0)^(l)(dV)/(F-Kv)=int_(0)^(t)(dt)/(m)`
`-[ln(F-KV)]_(0)^(v)=(t)/(m) implies ln((F-kV)/(F))= -(Kt)/(m)`
`F-KV=Fe^(-kt//m) implies V=(F)/(K)(1-e^(-kt//m))`
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