formulas1 - in the direction of the displacement is...

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Kinematic equations for one-dimensional motion with constant acceleration: a x = (v xf - v xi )/(t f - t i ) v xf = v xi + a x ∆t. v x(avg) = ( v xf + v xi )/2. x f - x i = v xi ∆t + (1/2)a x ∆t 2 . v xf 2 = v xi 2 + 2a x (x f - x i ). Hooke’s law: F = -kx. Harmonic motion: x(t) = Acos(ωt + φ) v(t) = ωAsin(ωt + φ), a(t) = ω2Acos(ωt + φ) = ω2x. ω = sqrt(k/m) = 2πf = 2π/T. Work, energy and power; W = F·d . The work done by a force can be positive or negative. If the component of the force in the direction of the displacement is positive, the work is positive, and if the component of the force
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Unformatted text preview: in the direction of the displacement is negative, the work is negative. Kinetic energy = (1/2)mv 2 Gravitational potential energy = mgh (with ground as reference) Elastic potential energy = ½ kx 2 P = ∆W/∆t Projectile motion: v x = v 0x , x = v 0x t, v y = v 0y - gt, y = v 0y t - (1/2)gt 2 . Friction: f s ≤ μ s N, f k = μ k N Uniform circular motion: Centripetal acceleration: a c = v 2 /r Centripetal force: F c = mv 2 /r....
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