Physics - W.E.P. Question with Solution | TestHub

A heavy chain with mass per unit length ' $\lambda$ ' is pulled by the constant force F along a horizontal surface consisting of a smooth section and a rough section. The chain is initially at rest on the rough surface with $\mathrm{x}=0$. If the coefficient of kinetic friction between the chain and the rough surface is ${\mu }_{\mathrm{k}}$, then what is the velocity v (in $\mathrm{m}/\mathrm{s}$ ) of the chain when $\mathrm{x}=\mathrm{L}$, if the force F is greater than ${\mu }_{\mathrm{k}}\rho \mathrm{gL}$ in order to initiate the motion? $(\mathrm{F}=21\mathrm{N},\mu =0.5,\mathrm{L}=1\mathrm{m},\lambda =2\mathrm{kg}/\mathrm{m})$