## Success in the portion of our class covering the Work-Energy perspective on particle dynamics is determined by your being able to accomplish the tasks listed below. The major objectives are listed by number. The list under each major objective includes both subtopics of that objective (usually topics which are required for a complete understanding of that major objective) and also the multiple representations of the task in which you are expected to be proficient. 1. Understand and apply the definition of work done on a particle by a given force, one that is uniform in space Scalar product of vectors Multiple forms of the definition FBD's or extended FBD's with accompanying displacement vectors 2. Understand and apply the definition of work done on a particle by a given force, one that is varying in space For a varying force that is always parallel, or antiparallel, to the path (e.g. friction on roundtrip in 2D) For one dimensional motion, graphs of force versus position For one dimensional motion, equations of force versus position (e.g. harmonic or anharmonic springs) 3. Understand and apply the Work-Kinetic Energy Theorem for particle motion Definition of kinetic energy Source of the theorem Meaning of positive, negative, or zero net work For 1D motion, graphs of net force versus position For 1D motion, equations of net force versus position 4. Understand and apply the ideal spring approximation (one end fixed) FBD's and extended FBD's for object at free end, and/or for spring Graphs of spring force versus position Horizontal springs, vertical springs, and springs on slopes Work done by a spring Work required to stretch or compress a spring Applications with the WK Theorem 5. Classify forces acting on a particle as conservative or nonconservative. Definition of a conservative force Definition of a nonconservative force 6. Apply the definitions of average and instantaneous power Definition of efficiency Understand how the definition of instantaneous power becomes the scalar product of force and velocity