# A classical mechanics problem by my physics teacher

Mass A is released from a height $$h$$ on this curved, frictionless curve. Mass A will hit mass B and the two will stick together and continue traveling from left to right up the curve. What will be the maximum height of combined masses A and B on the right side of the curve? If the answer can be written in the form $$\dfrac{a}{b}h$$ (simplest form), find $$a+b$$.

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