{"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 speeds.", "specific_scope": "The focus is on determining the maximum speed of a mass attached to a spring-like force (Hooke's law) in a relativistic context, taking into account the mass, amplitude, and the speed of light.", "goal": "Calculate the maximum speed of the mass in a relativistic harmonic oscillator using the given parameters."}, "summary": "This problem pertains to the physics of a relativistic harmonic oscillator, where we need to find the maximum speed of a mass subject to Hooke's law. The solution involves understanding how relativistic effects modify the classical equations of motion. The correct expression for the maximum speed, considering the relativistic context, is given by v_max=c\u221a(1-1/(1+kA^2/2mc^2)^2). This highlights the interplay between classical mechanics and relativistic physics in oscillatory systems."}