{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Uncertainty Principle", "refinement": "This problem involves the Heisenberg Uncertainty Principle, which relates the uncertainty in position and momentum of a particle.", "specific_scope": "The focus is on calculating the minimum uncertainty in energy (\u0394E) of an electron given its uncertainty in position (\u0394x) and its speed (v).", "goal": "Use the uncertainty principle to estimate the minimum uncertainty in the energy of the electron."}, "summary": "This problem is rooted in quantum mechanics, specifically the Heisenberg Uncertainty Principle, which states that the uncertainty in position (\u0394x) and the uncertainty in momentum (\u0394p) are inversely related. Given the speed of the electron and its position uncertainty, we can calculate the uncertainty in momentum and subsequently use it to find the uncertainty in energy (\u0394E). The goal is to estimate \u0394E based on the provided values, leading to the conclusion that the minimum uncertainty in the energy of the electron is approximately 10^(-16) J."}