{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Special Relativity", "refinement": "This problem involves calculating the Lorentz factor, which is a key concept in special relativity that describes how time, length, and relativistic mass change for an object moving at a significant fraction of the speed of light.", "specific_scope": "The focus is on determining the Lorentz factor (\u03b3) for a specific nucleus (Li with 3 neutrons) traveling at 0.96 times the speed of light (0.96c).", "goal": "Calculate the Lorentz factor (\u03b3) using the formula \u03b3 = 1 / \u221a(1 - v\u00b2/c\u00b2), where v is the velocity of the object."}, "summary": "This problem is rooted in the principles of special relativity, specifically the calculation of the Lorentz factor (\u03b3) for an object moving at relativistic speeds. The task is to compute \u03b3 for a lithium nucleus traveling at 0.96c using the formula \u03b3 = 1 / \u221a(1 - v\u00b2/c\u00b2). The goal is to find the correct value of the Lorentz factor, which in this case is 3.5714, indicating the effects of relativistic speeds on the nucleus."}