{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Reference Frames", "refinement": "This problem involves understanding the concept of relative motion between two inertial frames of reference: the ejecta from a supernova and the center of the Galaxy.", "specific_scope": "The focus is on calculating the distance traveled by the ejecta in the Galaxy's reference frame over a specific time interval, taking into account the relative velocity of the Galaxy's center as observed from the ejecta.", "goal": "Determine the distance the ejecta travels in the Galaxy's reference frame during a time period of 50 seconds as measured in the ejecta's frame."}, "summary": "This problem involves concepts from physics, specifically the theory of relativity and reference frames. It describes a scenario where a supernova ejecta is moving towards the center of the Galaxy, which is perceived to be moving at a high velocity from the ejecta's frame. The task is to calculate the distance the ejecta travels in the Galaxy's reference frame over a time interval of 50 seconds. By applying the relative velocity and time, we can determine that the ejecta travels 3,060,000 km in the Galaxy's reference frame during this period."}