# Round and about

A small bead of mass $$M$$ is given an initial velocity of magnitude $$3 \text{ m/s}$$ on a horizontal circular track of radius $$1 \text{ m}$$. If the coefficient of of kinetic friction is $$\mu_{k}=0.5$$, what is the distance covered by the bead before coming to rest?

Assumptions and Details

• Take acceleration due to gravity as $$9.8 \text{ m/s}^{2}$$.
• The track goes through a small hole in the bead. The surface of the hole is uniform so that the coefficient of friction is the same in all directions.
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