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8 Conservation of Energy (8.3 Determining Potential Energy Values (8.3.1…
8 Conservation of Energy
8.1 Path Independence and Conservative Forces
8.1.1 Counter Examples
Friction force
Force that is always tangent to
a circle centered at the origin.
A necessary and sufficient condition for a force field to be conservative is: The net work done by a conservative force on a particle moving around any closed path is zero.
8.2 Work and Potential Energy
8.3 Determining Potential Energy Values
8.3.1 Gravitational Potential Energy
8.3.2 Elastic Potential Energy
8.3.3 Spherically Symmetric Central Force
8.4 Determining Force from Potential Energy
8.4.1 One-dimensional U (x)
8.4.2 Three-dimensional U (~x)
8.5 Conservation of Mechanical Energy
E_mec = K + U
8.6 Reading a Potential Energy Curve
8.6.1 Turning Points
8.6.2 Equilibrium Points
Unstable equilibrium
Stable equilibrium
8.7 Work Done on a System by an External Force
8.7.1 Conservative System
8.7.2 Friction Involved
8.8 Conservation of Energy
8.8.1 Isolated System
8.8.2 External Force and Internal Energy Transfer
8.8.3 Power