{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Space Travel", "refinement": "This problem involves concepts of time dilation and the speed of light in the context of interstellar travel.", "specific_scope": "The focus is on calculating the total time taken for a spacecraft traveling at a significant fraction of the speed of light to reach a distant star and the subsequent time for a light signal to return to Earth.", "goal": "Determine the total time elapsed from the spacecraft's departure to the reception of the light signal on Earth."}, "summary": "This problem is rooted in the physics of relativity, specifically dealing with the effects of traveling at relativistic speeds. It requires calculating the time taken for a spacecraft to travel to a star 4.3 light-years away at 0.8 times the speed of light (0.8c) and then determining how long it takes for a light signal emitted upon arrival to reach Earth. The goal is to find the total time from departure to the signal's reception, which is calculated to be 10.75 years."}