{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Oscillatory Motion", "refinement": "This problem involves the dynamics of a relativistic harmonic oscillator, which is a system that exhibits oscillatory motion under the influence of a restoring force proportional to displacement, while also considering relativistic effects due to high velocities.", "specific_scope": "The focus is on determining the maximum velocity of a mass attached to a spring in a relativistic context, where the effects of special relativity become significant as the velocity approaches the speed of light.", "goal": "Calculate the maximum velocity of the mass in a relativistic harmonic oscillator using the given parameters and constraints."}, "summary": "This problem pertains to the physics of a relativistic harmonic oscillator, where we need to find the maximum velocity of a mass under the influence of a restoring force. The scenario incorporates relativistic effects, particularly as the mass approaches significant fractions of the speed of light. The solution involves applying principles of both harmonic motion and special relativity to derive the maximum velocity formula. The correct answer is v_max = c\u221a(1 - 1/(1 + kA^2/2mc^2)^2), which accounts for the relativistic adjustments to the classical harmonic oscillator model."}