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Problem 8 - Entrance Test

A mass m is attached to a spring with spring constant k. The mass is displaced a distance A from equilibrium and released. What is the maximum speed of the mass?

Correct: A

The total energy is 1/2 kA². At the equilibrium position, all potential energy is converted to kinetic energy, so 1/2 kA² = 1/2 mv². Thus, v = A√(k/m).