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Goes over...Chapter 6: Work and Kinetic Energy
Chapter 7: Potential Energy, Energy Conservation
Chapter 8: Momentum, Impulse, Collision
Chapter 6: Work and Kinetic Energym = mass  g = 9.8 m/s  F = Weight (N)  F = m ⋅ g  s = distance  KE = Kinetic Energy  W = Workdone  Power = P (Watts)  x = cos y = sin  1 km = 1000m  1kg = 1000g  ΔK = Kf  Ki  Friction = always negative  g = 9.8 (decreasing)  g = 9.8 (normal)  a = g (gravitational acceleration)  Θ = Angle between F and s   = Component of F parallel to dl  v = velocity  W = (∫P2 to P1 ) F⋅dl  W = F dl  W = (∫P2 to P1 ) F⋅cosΘ⋅dl  W = F ⋅ s (Joules)  Pav = ΔW / Δt  P = lim Δt > 0 (ΔW / Δt) = dW / dt  Vf = Vi ^{2} + 2 ⋅ a ⋅ s  P = (W/t)  Constant Speed : (a = 0)  F = force P = F ⋅ v  Friction (opposite) = cos(180^{o})  Wx = F (cosΘ)⋅s  Wy = F (sinΘ)⋅s  a = (Vf ^{2}  Vi ^{2}) / (2⋅ s)  Fs = (1/2)⋅m⋅Vf ^{2}  (1/2)⋅m⋅Vi ^{2}  Wgrav = m⋅g⋅h  P = (W/t)  KE = (1/2)⋅m⋅V^{2}  PE = m⋅g⋅h 
  Chapter 7: Potential Energy, Energy ConservationPotential Energy = U, PE  ΔK = ΔUgrav  K = Kinetic Energy  R = Radius  s = yf  yi  Ugrav = m ⋅ g ⋅ y  Δs = Δxî + Δyĵ  cm = circular motion
  k = constant of spring  PE = (1/2)⋅k⋅x^{2}  Wgrav = wvector ⋅ Δsvector  Diameter = 2 ⋅ Radius  Wf = Work Done by Friction  if elastic... KE = PE  Wgrav = F × s  Wgrav = m ⋅ g ⋅ yi  m ⋅ g ⋅ yf  Ki + Ui = Kf + Uf  (1/2)⋅m⋅Vi ^{2} + m⋅g⋅yi = (1/2)⋅m⋅Vf ^{2} + m⋅g⋅yf  if gravity does work.... E = K + Ugrav  Wtotal = Kf  K i
Wtotal = Wgrav + Wel + Wother  Wother + Ui  Uf = Kf  Ki arrange to.... Ki + Ui + Wother = Kf + Uf  Work done on a spring W = (1/2)KE ⋅Xf ^{2}  (1/2)KE ⋅Xi ^{2} Work done by a spring W = (1/2)KE ⋅Xi ^{2}  (1/2)KE ⋅Xf ^{2}  Ucm = m ⋅ g ⋅ R  Elastic Potential Energy Uel = (1/2)⋅KE ⋅x^{2}
Work Done by Elastic Force Wel = (1/2)⋅KE ⋅xi ^{2}  (1/2)⋅KE ⋅xf ^{2}  if elastic force does work, and mechanical energy is conserved Ki + Uel , i = Kf + Uel , f  Work Done by Friction: Wf = Wfric Wf = (fk ⋅ s) Wf = μk ⋅m⋅g⋅s  Law of Conservation of Energy ΔK + ΔU + ΔUint = 0  F = Fx + Fy + Fz Fx (x) = m⋅g Fy (y) = m⋅g Fz (z) = m⋅g  Fx = (1/2)⋅K⋅x^{2} 
  Chapter 8: Momentum, Impulse, Collisionsp = momentum  J = Impulse  m = mass  v = velocity  P = m ⋅ v (kg ⋅ m/s)  F = dp / dt
Jy = (∫tf to ti ) ΣFy dt Jy = (Fav )y (tf  ti ) Jy = Pfy  Piy Jy = (m⋅Vfy )  (m⋅Viy )  J = ΣF (tf  ti ) J = ΣF⋅Δt J = (∫tf to ti ) ΣF dt
Jx = (∫tf to ti ) ΣFx dt Jx = (Fav )x (tf  ti ) Jx = Pfx  Pix Jx = (m⋅Vfx )  (m⋅Vix )  ΣF = (Pf  Pi ) / (tf  ti )  J = Fav (tf  ti )  J = (Pf  Pi ) = {F} : Change in Momentum  P = PA + PB = PA + PB   Assuming m1 and m2 don't change  m1 ⋅v1 +m2 ⋅v2 = constant  (P1 +P2 )i = (P1 +P2 )f  P1 +P2 = constant  Pi = Pf  Vf = (m1 ⋅v1 +m2 ⋅v2 ) / (m1 ++m2 ) 

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