Equations Sheet for Knight - Phys114.pdf

# Equations Sheet for Knight - Phys114.pdf - Equation Sheet...

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Equation Sheet for PHYS-114 (Knight) Descriptions of Motion r = r f r i v avg = r t v x = dx dt a avg = v t a x = dv x dx Kinematic Equations of Motion v xf = v xi + a x t x f = x i + v xi t + 1 2 a x t 2 v 2 xf = v 2 xi + 2 a x ( x f x i ) v yf = v yi + a y t y f = y i + v yi t + 1 2 a y t 2 v 2 yf = v 2 yi + 2 a y ( y f y i ) Forces and Motion F = m a f s = µ s n f k = µ k n w = mg F AonB = F BonA Momentum and Impulse p = m v J = t 2 t 1 F ( t ) dt = p = p f p i Kinetic and Potential and Energy K = 1 2 mv 2 U g = mgy F = k x U sp = 1 2 k x 2 Work and Energy W net = K W c = U W net = W c + W nc W nc = W diss + W ext W diss = E therm W = F · r = F s cos θ W = r f r i F · dr K i + U i + W nc = K f + U f Rotational Kinematics θ = s r ω = dt = v t r α = a t r a r = v 2 t r = ω 2 r ω f = ω i + α t θ f = θ i + ω i t + 1 2 α t 2 ω 2 f = ω 2 i + 2
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