Unit 5 - Work and Energy CHAPTER 8 CONCEPTUAL PHYSICS BOOK CHAPTER 6 PHYSICS BOOK
Part 2 CONSERVATION OF ENERGY AND POWER
Conservative vs. Nonconservative Forces Conservative force – total Work on a closed path is zero. (ex: gravity) Nonconservative force – total Work on a closed path is NOT zero. (ex: friction) Energy 3 -W+W -W Gravity- down Motion- up Friction – left Motion - right Friction - right Motion- left Gravity- down Motion- down
Conservation of Energy
Conservation of Mechanical Energy
Conceptual Example 1: Pendulum Pendulum - Kinetic and Potential Energy Pendulum - Kinetic and Potential Energy In the absence of air resistance and friction… the pendulum would swing forever example of conservation of mechanical energy Potential → Kinetic → Potential and so on… In reality, air resistance and friction cause mechanical energy loss, so the pendulum will eventually stop.
Conceptual Example 2: Roller Coaster Roller Coaster - Kinetic and Potential Energy Roller Coaster - Kinetic and Potential Energy
With Non-Conservative Forces…
Conceptual Example 3: Downhill Skiing Downhill Skiing - Kinetic and Potential Energy Downhill Skiing - Kinetic and Potential Energy This animation neglects friction and air resistance until the bottom of the hill. Friction is provided by the unpacked snow. Mechanical energy loss (nonconservative force) Negative work
Problem Solving Insights Determine if non-conservative forces are included. If yes: ME f = ME 0 + W nc (We won’t be solving this type) If no: ME f = ME 0 Eliminate pieces that are zero before solving Key words: starts from rest (KE 0 = 0), ends on the ground (PE f = 0), etc.
Example 1 A 2.00kg rock is released from rest from a height of 20.0 m. Ignore air resistance & determine the kinetic, potential, & mechanical energy at each of the following heights: 20.0 m, 12.0m, 0m (Round g to 10 m/s 2 for ease)
Example 1 - Answers HeightKEPEME 20.0 m 0 J2*10*20 = 400 J400 J 12.0 m = 160 J2*10*12 = 240 J400 J 0 m = 400 J2*10*0 = 0 J400 J Start Here Then Use This
Example 2 Find the potential energy, kinetic energy, mechanical energy, velocity, and height of the skater at the various locations below. 13 Energy max
Example 2 - Answers 14
Power
Power Example #1
Power Example #2
Power Example #3
Power Example #4