8.1 The Nonisolated System: Conservation of Energy 8.1 Conservation of energy  E system =   K +  U +  E int = W + Q + T MW + T MT + T ET + T ER  K = +  U = 0  K = –  U g  K book mgy i – mgy f W on book =  K book

8.1 The Nonisolated System: Conservation of Energy, cont. 8.7 Mechanical energy of a system 8.8 The mechanical energy of an isolated system with no nonconservative forces acting is conserved. 8.9 The total energy of an isolated system is conserved E mech = K + U  E mech = 0  E system = 0 K f + U f = K i + U i

8.3 Situations Involving Kinetic Friction  W other forces -ƒ k d =  K 8.14 K f = K i -ƒ k d +  W other forces 8.15  E int = ƒ k d

8.4 Changes in Mechanical Energy for Nonconservative Forces 8.16 Change in mechanical  E mech =  K +  U = -ƒ k d energy of a system due to friction within the system 8.17  E mech = -ƒ k d +  W other forces

8.5 Power 8.18 Definition of power 8.19