A small object of mass m starts at rest at the position shown and slides along the frictionless loop-the-loop track of radius R.What is the smallest value of y such that the object will slide without losing contact with the track? 
Definitions:
Average Total Cost
The total cost of production divided by the number of units produced, representing the average cost per unit of goods or services produced.
Allocative Efficiency
A state of resource allocation where it is not possible to make any one individual better off without making at least one individual worse off.
Average Variable Cost
The total variable cost divided by the quantity of output produced; it represents the variable cost per unit of output.
Marginal Cost
Marginal cost is the cost of producing one additional unit of a good or service.
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