Work, Energy and Power Top Formulae The Scalar Product A.B = AB cos θ The scalar product follows the commutative law A.B = B.A The scalar product follows the distributive law A. (B + C) = A.B + A.C A. ( B) = (A.B) Where is a real number Work W = (F cos θ) d = f d Kinetic energy KE = 1mv2 p2 2 2m The equivalence of mass and energy E = m c 2 Average power Pav Wt Instantaneous power P dW dt P = F v Unit of power horsepower (hp) 1 hp = 746 W 1 kWhr = 1000 (watt) × 1 (hour) = 1000 watt hour = 1 kilowatt hour (kWh) = 10 3 (W) × 3600 (s) = 3.6 × 10 6 J For conservative force WAB. 1 = WAB. 2 For non-conservative force WAB. 1 ≠ WAB. 2 Potentia...