A mass m is released from a height 75 cm from the right-hand side of the track shown in the diagram at right. There is only friction acting on mass along the horizontal portion 30 cm either side of the midpoint O, with a kinetic coefficient of friction of k = 0.4. Determine how high it reaches the second time it passes over to the left side, and in which direction is it moving when it stops? 
Definitions:
Opportunity Cost
Opportunity cost is the value of the next best alternative foregone as a result of making a decision, representing the benefits an individual, investor, or business misses out on when choosing one alternative over another.
Allocatively Efficient
Allocatively Efficient means an economic state where resources are allocated in a way that maximizes the overall benefit to society, with goods and services distributed according to consumer preferences.
All Other Things Equal
A phrase used in economics, indicating that all other variables are held constant except the variables being studied.
Relevant Factors
Factors that significantly impact the analysis or outcome of a particular situation or model.
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