File size: 959 Bytes
5c6953b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | {
"correct_letter": "D",
"correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
"annotation": "Environment: g=9.81, F_drag=!=0\nGround: e=0.5\nTennisBall: d = 0.07, e = 0.75, m = 0.06, h = 0.77, v_0 = 0.0\nSteelBall: d = 0.04, e = 0.6, m = 0.26, h = 0.77, v_0 = 1.12",
"choices": [
"v_cm = (m_1·v_1i² + m_2·v_2i²) / (m_1·v_1i + m_2·v_2i)",
"T = 2π·√(m/k)",
"h_next = e²·h_current",
"y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)"
],
"correct_index": 3,
"physics_type": "Composition",
"composition_sources": [
"InelasticCollision",
"Projectile"
],
"choice_sources": [
"InelasticCollision",
"InelasticCollision",
"Projectile",
"Projectile"
],
"seed": "Composition|Composition/0",
"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)"
]
}
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