{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Relativistic Kinematics and Energy", "refinement": "This problem involves calculating the relative speed of two particles moving at relativistic speeds and determining the total energy of the system considering their masses and velocities.", "specific_scope": "The focus is on two particles with given masses and velocities, requiring the application of relativistic formulas to find the relative speed and total energy.", "goal": "Calculate the relative speed of the two particles and their total energy in the system."}, "summary": "This problem is rooted in the principles of relativity, specifically dealing with the motion of two particles at relativistic speeds. It requires calculating the relative speed using the relativistic velocity addition formula and determining the total energy using the relativistic energy formula. The goal is to find both the relative speed and the total energy of the system based on the given masses and velocities of the particles."}