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Question

A block weighing 10 N travels down a smooth curved track AB joined to a rough horizontal surface (figure 8-E5). The rough surface has a friction coefficient of e20 with the block. If the block starts slipping on the track from a point 1'0 in above the horizontal surface,how far will it move on the rough surface ?


Solution

mg=10N,μ=0.2,H=1m,u=v=0

Change in P.E =Work done to increase K.E.

W=mgh=10×1=10 J

Again on the horizontal surface the frictional force

F=μR=μmg=10×1=10 J

So, the K.E. is used to overcome friction.

S=WF=10J2N=5m

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