{"knowledge_schema": {"broad_category": "Physics \u2192 Particle Accelerators \u2192 Synchrocyclotron", "refinement": "This problem involves understanding the behavior of charged particles in an alternating electric field within a synchrocyclotron, specifically focusing on the relationship between energy gain and the frequency of the accelerating voltage.", "specific_scope": "The task is to calculate the number of complete cycles a proton undergoes while being accelerated from a low kinetic energy to a specified high kinetic energy in a synchrocyclotron.", "goal": "Determine the total number of complete cycles the proton completes during its acceleration to reach the kinetic energy of 950 MeV."}, "summary": "This problem relates to the physics of particle accelerators, specifically synchrocyclotrons, where a proton is accelerated through an alternating electric field. The goal is to calculate how many complete cycles the proton completes while gaining energy from an initial state to a target kinetic energy of 950 MeV. The solution involves understanding the relationship between the voltage, frequency, and energy gain of the proton, leading to the conclusion that the proton completes 3536 cycles during its acceleration."}