{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Time Dilation", "refinement": "This problem involves the effects of special relativity, specifically time dilation, which occurs when two observers are in relative motion at significant fractions of the speed of light.", "specific_scope": "The scenario describes a spacecraft moving away from Earth at a relativistic speed (60,000 km/s) and examines how time is experienced differently for observers in different reference frames.", "goal": "Calculate the time experienced on the spacecraft compared to the time experienced on Earth, using the principles of time dilation from Einstein's theory of relativity."}, "summary": "This problem illustrates the concept of time dilation in the context of special relativity, where time is experienced differently for observers in relative motion. The spacecraft is moving away from Earth at a significant speed, leading to a difference in elapsed time between the two frames of reference. By applying the time dilation formula, we can determine that while 100 seconds pass on Earth, only 98 seconds pass on the spacecraft's clock, demonstrating the effects of relativistic speeds on time perception."}