Physics 317K Formula Sheet, Study notes of Chemical Kinetics

Download Physics 317K Formula Sheet and more Study notes Chemical Kinetics in PDF only on Docsity! Physics 317K Formula Sheet One dimensional motion displacement: ∆x = x2 - x1 average velocity: vavg = ∆x ∆t , instantaneous velocity: v = dx dt average acceleration: aavg = ∆v ∆t , instantaneous acceleration: a = dv dt = d2x dt2 kinematic equation 1: v = v0 + at kinematic equation 2: x - x0 = v0t + 1 2 at2 kinematic equation 3: v2 = v2 0 + 2a(x - x0) kinematic equation 4: x - x0 = 1 2 (v0+v) t kinematic equation 5: x - x0 = vt - 1 2 at2 Projectile motion kinematic equation 1: x - x0 = (v0 cos θ)t kinematic equation 2: y - y0 = (v0 sin θ)t - 1 2 gt2 kinematic equation 3: vy = v0 sin θ - gt kinematic equation 4: v2 y = (v0 sin θ)2 - 2g(y-y0) Newtons Laws Force F = ma, Weight W = mg equilibrium conditions: Σ Fx=0, Σ Fy=0,Σ Fz=0 non-equilibrium conditions: Σ Fx=max, Σ Fy=may, Σ Fz=maz static friction force fs ≤ µs Fn, kinetic friction force fk = µk Fn Work and Energy work: W = F cosθ ∆x, work θ=0: W = F ∆x potential energy: U = mgy = mgh elastic potential energy stored in a spring: Us = 1 2 kx2 kinetic energy: K = 1 2 mv2 work energy theorem: Wnet = Kf - Ki energy conservation: Ki + Ui = Kf + Uf non-conservative work: Wnc = (Kf + Uf ) - (Ki + Ui) power: P = E t = Fv Momentum conservation and collisions momentum: p = mv, impulse = F ∆t impulse-momentum theorem: F ∆t = ∆p = mvf -mvi conservation of momentum in collisions: Σ(mv)initial = Σ(mv)final Rotational motion rotational equation 1: ω = ω0 + αt rotational equation 2: θ - θ0 = ω0t + 1 2 αt2 rotational equation 3: ω2 = ω2 0 + 2α(θ - θ0) rotational equation 4: θ - θ0 = 1 2 (ω0+ω) t rotational equation 5: θ - θ0 = ωt - 1 2 αt2 tangential velocity: vt = ω r tangential acceleration: at = α r centripetal (radial) acceleration: ar = v2 r = ω2 r total acceleration: a = √ (a2 r + a2 t ) centripetal force: Fr = m ar = m v2 r Rotational equilibrium and dynamics rotational kinetic energy: Kr = 1 2 I ω2 moment of inertia: I = Σ mir 2 i torque: τ = Fd (d=r sin θ), torque: τ = I α