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A particle of mass m is at rest of the o...

A particle of mass m is at rest of the origin on a horizontal xy-plane surface. For `0<=x<=l`,the surface is smooth while for `x>l` ,the surface is rough with coefficient of friction `mu` .A force `F=c(hat j times hat k)`, where c is positive constant acts on the particle for the region `0<=x<=l` .The total distance travelled by the particle before coming in rest is `(1+(nc)/(mu mg))` . Find the value of `n`.

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