8CHAPTER OUTLINE8.1 Potential Energy of a System8.2The Isolated System—Conservation ofMechanical Energy8.3Conservative and Nonconservative Forces8.4Changes in MechanicalEnergy for NonconservativeForces8.5Relationship BetweenConservative Forces andPotential EnergyEquilibrium of a System8.6Energy Diagrams and thePotential EnergyANSWERS TO QUESTIONSQ8.1The final speed of the children will not depend on the slidelength or the presence of bumps if there is no friction. If there isfriction, a longer slide will result in a lower final speed. Bumpswill have the same effect as they effectively lengthen thedistance over which friction can do work, to decrease the totalmechanical energy of the children.Q8.2Total energy is the sum of kinetic and potential energies.Potential energy can be negative, so the sum of kinetic pluspotential can also be negative.Q8.3Both agree on the changein potential energy, and the kineticenergy. They may disagree on the value of gravitationalpotential energy, depending on their choice of a zero point.
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