Physics II workshop_Part_63

Physics II workshop_Part_63 - o ) 2 ) ] (x-x o ) 2 r = R +...

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128 Equations for University Physics I (Vector quantities are in bold .) Uncertainties x avg = Σ x i / N Δ x = Σ (| x i - x avg |) / N Δ z = Δ x + Δ y Δ z / z = Δ x / x + Δ y / y Vectors A = A x i + A y j + A z k | A | = A = (A x 2 + A y 2 + A z 2 ) 1/2 A x = A cos θ A y = A sin θ θ = tan -1 (A y /A x ) A • B = A B cos θ A,B A B = A x B x + A y B y + A z B z | A x B | = A B sin θ A,B A x B = (A y B z - A z B y ) i + (A z B x - A x B z ) j + (A x B y - A y B x ) k n = A / A n = cos α i + cos β j + cos γ k Kinematics v = d r /dt a = d v /dt x = x o + v ox t + (1/2) a x t 2 v x avg = (v x + v ox ) / 2 v x = v ox + a x t v x 2 = v ox 2 + 2 a x (x - x o ) x = x o + v x avg t a c = v 2 / r Ax 2 + Bx + C = 0 ; x = [ -B +/- sqrt(B 2 – 4 A C)] / 2 A R = (v o 2 / g) sin(2 θ o ) y = y o + (tan θ o ) (x-x o ) - [ g / (2(v o cos θ
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Unformatted text preview: o ) 2 ) ] (x-x o ) 2 r = R + r' v = V + v' 129 Dynamics F = m a F 12 = - F 21 f s = s N f k = k N W = m g F 12 = - [ G m 1 m 2 / r 2 ] r unit P 2 = k a 3 Work and Energy K = (1/2) m v 2 W = F dr W = F r W net = K P = dW/dt P = F v F x = - dU/dx E = K + U K = - U E f = E i + W nc Systems of Particles r cm = ( m i r i )/ m i r cm = r dm / dm F ext = m a cm p = m v F = d p /dt P = p i F ext = d P /dt P = constant J = F dt J = p...
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Physics II workshop_Part_63 - o ) 2 ) ] (x-x o ) 2 r = R +...

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