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A mass m is released from a height 80 cm from the right-hand side of the track shown in the diagram at right. There is only friction acting along the horizontal portion 30 cm either side of the midpoint O with a kinetic coefficient of friction of k = 0.4. Determine (i) how many times does the mass m pass through the midpoint O, and (ii) how far from the midpoint does it come to rest.
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