{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Particle Physics", "refinement": "This problem involves the concepts of relativistic mass and energy, specifically focusing on the relationship between rest mass energy and kinetic energy in the context of particle acceleration.", "specific_scope": "The scenario describes a proton being accelerated to a speed where its relativistic mass is twice its rest mass, requiring the application of relativistic energy equations to find the kinetic energy.", "goal": "Calculate the kinetic energy of the proton when its relativistic mass is twice its rest mass."}, "summary": "This problem is rooted in the principles of relativistic physics, where a proton is accelerated to a speed that doubles its rest mass. The rest mass energy of a proton is given as approximately 938 MeV. When the relativistic mass is twice the rest mass, the total energy of the proton is 1876 MeV (which includes both rest mass energy and kinetic energy). Therefore, the kinetic energy can be calculated by subtracting the rest mass energy from the total energy, resulting in a kinetic energy of 938 MeV. The correct answer is 938 MeV."}