If the ball is released from rest at a height of $0\mathrm{.}67$ mm above the bottom of the track on the no$-$slip side, what is its angular speed when it is on the frictionless side of the track? Assume the ball is a solid sphere of radius $2\mathrm{.}7$ cmcm and mass $0\mathrm{.}14$ kgkg$.($Figure $1)$

Express your answer in radians per second.

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Part B

How high does the ball rise on the frictionless side?