Chapter 9 Work and Kinetic Energy

A photograph of an athlete lifting weights.

This athlete does work to lift the weights. Surprisingly, she does no work when holding the weights stationary over her head.

In This Chapter, you will begin your study of how energy is transferred and transformed.

How should we think about energy?

Chapters 9 and 10 will develop the basic energy model, a powerful set of ideas for using energy. A key distinction is between the system, which has energy, and the environment. Energy can be transferred between the system and the environment or transformed within the system.

《 LOOKING BACK Section 7.1 Interacting objects

The figure illustrates the energy transfer between the Environment and System.

What are some important forms of energy?

Three important forms of energy:

  • Potential energy is energy associated with an object’s position.

  • Kinetic energy is energy associated with an object’s motion.

  • Thermal energy is the energy of the random motion of atoms within an object.

Energy is measured in joules.

This figure illustrates a spring with a ball to describe two types of energy: potential energy and kinetic energy.

What is work?

A process that changes the energy of a system by mechanical means—pushing or pulling on it—is called work.

Work W is done when a force pushes or pulls a particle through a displacement, thus changing the particle’s kinetic energy.

The figure illustrates the work done on a particle by a force.

What laws govern energy?

Working with energy is very much like accounting: A system’s energy E changes by the amount of work done on the system. The mathematical statement of this idea is called the energy principle:

ΔEsys=Wext
The figure illustrates the basic energy model.

What is power?

Power is the rate at which energy is transferred or transformed. For machines, power is the rate at which they do work. For electricity, power is the rate at which electric energy is transformed into heat, sound, or light. Power is measured in watts, where 1 watt is a rate of 1 joule per second.

The figure illustrates a 100-Watt light bulb.

Why is energy important?

Energy is one of the most important concepts in science, engineering, and society. Some would say it is the most important. All life depends on energy, transformed from solar energy to chemical energy to us. Society depends on energy, from industry and transportation to heating and cooling our buildings. Using energy wisely and efficiently is a key concern of the 21st century.

Learning Objectives

After studying this chapter, you should be able to

  1. 9.1 Explain the transfer and transformation of energy using the basic energy model.

  2. 9.2 Calculate the kinetic energy of a particle.

  3. 9.3 Calculate the work done by a constant force.

  4. 9.4 Calculate the work done by a variable force.

  5. 9.5 Solve spring problems using Hooke’s law.

  6. 9.6 Explain what thermal energy is and calculate the change in thermal energy.

  7. 9.7 Determine the power required to transfer or transform energy.