{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Special Relativity", "refinement": "This problem involves calculating the relative speed of two objects moving at relativistic speeds and determining the total energy of the system based on their masses and velocities.", "specific_scope": "The focus is on two astronauts with different masses and velocities, requiring the use of the relativistic velocity addition formula and the relativistic energy formula.", "goal": "Calculate the relative speed of the two astronauts and their total energy in the system."}, "summary": "This problem is rooted in the principles of special relativity, where we need to find the relative speed of two astronauts moving at significant fractions of the speed of light and calculate their total energy. The relative speed can be determined using the relativistic velocity addition formula, while the total energy can be calculated using the relativistic energy formula, which accounts for the mass and velocity of each astronaut. The goal is to find both the relative speed and the total energy of the system."}