{ "correct_letter": "B", "correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "annotation": "Environment: g=9.81, F_drag=!=0\nGround: e=0.5\nBaseball: d = 0.07, e = 0.55, m = 0.14, h = 0.77, v_0 = 0.0\nSteelBall: d = 0.04, e = 0.6, m = 0.26, h = 0.77, v_0 = 1.11", "choices": [ "B = μ_0·I / (2π·r)", "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "ΔE_loss = (1/2)·e²·(m_1·m_2)/(m_1+m_2)·(v_1i + v_2i)²", "ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²" ], "correct_index": 1, "physics_type": "Composition", "composition_sources": [ "InelasticCollision", "Projectile" ], "choice_sources": [ "InelasticCollision", "Projectile", "InelasticCollision", "InelasticCollision" ], "seed": "Composition|Composition/4", "is_realworld": true, "dropped_wrong_formulas": [ "InelasticCollision: W_f = ∫ μ_k·m·g·ds = ΔE_k", "Projectile: F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)" ] }