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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