. (ENERGY CONSERVATION) A spring with spring constant k stands vertically on the ground, with its bottom end attached to the ground. When the spring is neither compressed nor stretched it has a rest (or equilibrium) length of 1. A mass m is attached to the top of the spring and then pushed down to the ground, so that the spring is compressed to zero length. The mass is then released from rest and it accelerates vertically upward. What is the maximum height above the ground that the mass reaches? Leave your answer in terms of the variables given in the problem and any other relevant constants (g, etc). Note that at all times, the mass remains attached to the spring, and the spring remains attached to the ground.

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