{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Special Relativity", "refinement": "This problem involves calculating the relative speed and total energy of two objects moving at relativistic speeds, taking into account their masses and velocities.", "specific_scope": "The focus is on two astronauts with different masses and speeds, requiring the use of relativistic formulas to find their relative speed and total energy in a system.", "goal": "Determine the relative speed of the two astronauts and calculate the total energy of the system based on their relativistic speeds and masses."}, "summary": "This problem is rooted in the principles of special relativity, where we need to calculate the relative speed and total energy of two astronauts moving at significant fractions of the speed of light. The task involves applying the relativistic velocity addition formula to find the relative speed and using the relativistic energy formula to compute the total energy of the system. The correct answer indicates that the relative speed is 0.14c and the total energy is 5.96 mc\u00b2."}