{"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 while taking into account relativistic effects due to high speeds.", "specific_scope": "The focus is on determining the maximum speed of a mass attached to a spring (harmonic oscillator) under relativistic conditions, specifically when the amplitude of oscillation is significant compared to the relativistic effects.", "goal": "Identify the correct expression for the maximum speed of the mass in terms of the parameters of the system (mass, spring constant, amplitude, and speed of light)."}, "summary": "This problem pertains to the physics of a relativistic harmonic oscillator, where we need to find the maximum speed of a mass attached to a spring while considering relativistic effects. The task involves analyzing the relationship between the spring constant, mass, amplitude, and the speed of light to derive the correct expression for maximum speed. The goal is to select the appropriate formula from the given candidates that accurately represents this relationship."}