physics equation sheet - Kinematics v = vo at x = xo vot...

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Kinematics: v = v o + at x = x o + v o t + ½ at 2 v 2 = v o 2 + 2a(x-x o ) average v = v + v o 2 g = 9.80 m/s 2 Dynamics: Σ F = ma F fr = µ k F N F G = mg F fr max = µ s F N Atwood Machine: a = g(m A – m B ) m A + m B Two boxes on a pulley, where B is hanging and A is on surface: a = m B g – F fr m A + m B Circular Motion: a R = v 2 / r T = 1/f F G = G m 1 m 2 r 2 G = 6.67 x 10 -11 N•m 2 /kg 2 v = 2πr T ΣF R = ma R = m (v 2 / r) (F R is in radial direction) g = G (m E / r E 2 ) Ferris Wheel: F T1 + mg = m (v 1 2 / r) (top) F T2 – mg = m (v 2 2 / r) (bottom) Momentum and Impulse: p = mv (kg m/s) ΣF = Δ       p Δ   t Impulse = F Δ t = Δ p Elastic collision: ½ m A v A 2 + ½ m B v B 2 = ½ m A v’ A 2 + ½ m B v’ B 2 m A v A + m B v B = m A v’ A + m B v’ B v A – v B = –(v’ A – v’ B ) Center of Mass: X CM = m A x A + m B x B m A + m B Work, Energy, and Power: W = Fdcos θ (Joules) KE = ½ mv 2 W net = Δ KE = ½ mv 2 2 - ½ mv 1 2 PE G = mgy Δ PE = -W G = W ext F spring = -kx PE elastic = ½ kx 2 W NC = Δ KE + Δ PE Δ KE + Δ PE = 0 (conservative) KE 2 + PE 2 = KE 1 + PE 1 ( conservative) E = KE + PE (E = total mechanical energy) E 1 = E 2 = constant (conservative) KE 1 + PE 1 = KE 2
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