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Unformatted text preview: Physics 302K final exam Formula Sheet Math: sin = opposite/hypotenuse, cos = adjacent/hypotenuse tan = opposite/adjacent, a x = a cos θ , a y = a sin θ One dimensional motion (a=const) displacement: Δx = x - x average velocity: v avg = Δ x Δ t or v avg = v + v 2 average acceleration: a avg = Δ v Δ t kinematic equation 1: x - x = v t + 1 2 at 2 kinematic equation 2: v = v + at kinematic equation 3: v 2 = v 2 + 2a(x - x ) Projectile motion (a=const) kinematic equation 1: x - x = v x t kinematic equation 2: y - y = v y t - 1 2 gt 2 kinematic equation 3: v y = v y- gt kinematic equation 4: v 2 y = v y 2- 2g(y-y ) Newtons Laws Force F = ma, Weight W = mg equilibrium conditions: Σ F x =0, Σ F y =0,Σ F z =0 non-equilibrium conditions: Σ F x =ma x , Σ F y =ma y , Σ F z =ma z static friction force f s ≤ μ s F n kinetic friction force f k = μ k F n Work and Energy work: W = F cos θ Δx, work θ =0: W = F Δx potential energy: U = mgy = mgh elastic potential energy stored in a spring: U...
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