A block of mass m is initially held in place on the left side of a track at a di

Question

A block of mass m is initially held in place on the left side of a track at a distance h above the
bottom of the track. The track is completely frictionless, with the exception of a rough
horizontal section of track of length h which has a coefficient of kinetic friction
mu = 0.11. If the block is released from rest, how many times does the block completely cross the
rough section of track before it stops?

A block of mass m is initially held in place on the left side of a track at a distance h above the bottom of the track. The track is completely frictionless, with the exception of a rough horizontal section of track of length h which has a coefficient of kinetic friction mu = 0.11. If the block is released from rest, how many times does the block completely cross the rough section of track before it stops?

Explanation / Answer

m*g*h = n * 0.11*mg*h

energy conservation
potetntial energy = n * energy against friction

so we get
n = 1/0.11 = 9.09

completly cross means n = 9

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