Physics II workshop_Part_63

# Physics II workshop_Part_63 - o 2(x-x o 2 r = R r v = V v...

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: o ) 2 ) ] (x-x o ) 2 r = R + r' v = V + v' 129 Dynamics Σ F = m a F 12 = - F 21 f s = μ s N f k = μ 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 • Δ r W net = Δ K P = dW/dt P = F • v F x = - dU/dx E = K + U Δ K = -Δ U E f = E i + W nc Systems of Particles r cm = ( Σ m i r i )/ Σ m i r cm = ∫ r dm / ∫ dm Σ F ext = m a cm p = m v Σ F = d p /dt P = Σ p i Σ F ext = d P /dt P = constant J = ∫ F dt J = Δ p...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Physics II workshop_Part_63 - o 2(x-x o 2 r = R r v = V v...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online