Conservation of Kinetic Energy Work-Energy Theorem Work-Energy Diagram

Conservation of Kinetic Energy If no work is done on an object, its kinetic energy does not change. THIS IS ONLY TRUE WHEN THERE IS NO WORK BEING DONE! Total work equals zero only if… There is no net force on the object or ... The net force and infinitesimal displacement are perpendicular to each other.

Examples of Conservation of Kinetic Energy THIS IS ONLY TRUE WHEN THERE IS NO WORK BEING DONE! Total work equals zero only if… There is no net force on the object or … The net force and infinitesimal displacement are perpendicular to each other.

Work- Energy Theorem If there is work done on an object, then the change in kinetic energy is equal to the work done.

Work and Energy Work and energy are calculated from simple equations

Work- Energy Theorem

Work-Energy Diagrams 0.5 J 2 J 1.5 J Work K initial K final The work is equal to the change in the kinetic energy of the system Work K initial K final 0.5 J 2 J 1.5 J Kinetic Energy Total Work

Work- Energy Theorem In terms of potential energy, we have

Including Potential Energy The total work done on a systems is ALWAYS equal to the change in its kinetic energy Work-Energy Theorem

Work-Energy Diagrams 0.5 J 1.0 J 2.0 J -1.0 J 1.5 J -0.5 J Work The nonconservative work is equal to the change in the total energy of the system Work K initial U initial K final U final 0.5 J 1.0 J 2.0 J -1.0 J Total Energy 1.5 J -0.5 J Initial Final Kinetic Energy Potential Energy Total Energy Nonconservative Work