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Lectures by James L. Pazun Copyright © 2012 Pearson Education, Inc. publishing as Add ison-Wesley 7 Work and Energy
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Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Jan 04, 2016

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Page 1: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Lectures by James L. Pazun

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

7 Work and Energy

Page 2: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Goals for Chapter 7

• Overview energy.

• Study work as defined in physics.

• Relate work to kinetic energy.

• Consider work done by a variable force.

• Study potential energy.

• Understand energy conservation.

• Include time and the relationship of work to power.

Page 3: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Introduction

• In previous chapters we studied motion

– Sometimes force and motion are not enough to solve a problem.

– We introduce energy as the next step.

Page 4: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

An Overview of Energy

• Energy is conserved.

• Kinetic Energy describes motion and relates to the mass of the object and it’s velocity squared.

• Energy on earth originates from the sun.

• Energy on earth is stored thermally and chemically.

• Chemical energy is released by metabolism.

• Energy is stored as potential energy in object height and mass and also through elastic deformation.

• Energy can be dissipated as heat and noise.

Page 5: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Energy stored through elastic deformation - Figure 7.2

Page 6: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

A study of energy transformation - Figure 7.4

• This transformation begins as elastic potential energy in the elastomer. It then becomes kinetic energy as the projectile flies upward. During the upward flight, kinetic energy becomes potential until at the top of the flight, all the energy is potential. Finally, the stored potential energy changes back to kinetic energy as the projectile falls.

Page 7: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Energy can be “lost” as heat. - Figure 7.6

• Energy can be dissipated by heat (motion transferred at the molecular level. This is referred to as dissipation.

Page 8: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

What is “work” as defined in Physics? – Figure 7.8

•Formally, work is the product of a constant force F through a parallel displacement s.

Page 9: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Consider only parallel F and S – Figure 7.9

•Forces applied at angles must be resolved into components.

Page 10: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Applications of force and resultant work - Figure 7.10

Page 11: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Sliding on a ramp - Figure 7.12 and 7.13

Please refer to the worked problem at the bottom of page 195

Page 12: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Work done be several forces - Figure 7.14

•Refer to the worked example 7.3

Page 13: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Work and energy related - Figure 7.15

• Unbalanced work causes kinematics.

• Refer to worked example 7.4.

Page 14: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

A pile driver application – Example 7.5

•Refer to the worked example on pages 199-200.

Page 15: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Work done by a variable force - Figure 7.17

• Depending on the course, work by a changing force is sometimes considered.

Page 16: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Energy stored by compression of springs - Example 7.6

•Energy may be stored in compressed springs.

•Refer to the worked example on pages 202-203.

Page 17: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Non-mechanical work - Figure 7.22

• The force of gravity can do work and influence energy

Page 18: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

A solved baseball problem - Figure 7.23

• Sports solved by energy conservation.

•See worked example on page 205.

Page 19: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Energy stored in spring displacement - Figure 7.25

• Elastic energy stored in a spring can be related to motion.

Page 20: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Conversion and conservation – Figures 7.27, 7.28

•As kinetic and potential energy are interconverted, dynamics of the system may be solved.

and

Refer to the worked examples on page 209.

Page 21: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

A spring safeguard for elevators – Figure 7.31

•Refer to the worked example on page 212.

Page 22: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Problems with non-conservative forces – Figure 7.32

• Refer to Example 7.12.

Page 23: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Non-conservative Forces II - Figure 7.34

Page 24: Lectures by James L. Pazun 7 Work and Energy. Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley Goals for Chapter 7 Overview energy.

Copyright © 2012 Pearson Education, Inc. publishing as Addison-Wesley

Power considers work and time to do it - Figure 7.35

•Refer to the worked example on pages 217-218.