11 Energy and Its Conservation BIGIDEA Write the Big Idea for this chapter. Use the “What I Know” column to list the things you know about the Big Idea. Then list the questions you have about the Big Idea in the “What I Want to Find Out” column. As you read the chapter, fill in the “What I Learned” column. W What I Want to Find Out Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. K What I Know Science Notebook • Energy and Its Conservation 163 L What I Learned 11 Energy and Its Conservation 1 The Many Forms of Energy MAINIDEA Write the Main Idea for this section. REVIEW VOCABULARY Recall and write the definition of the Review Vocabulary term. system system NEW VOCABULARY Use your book to fill in the term that matches each definition. energy due to rotational motion energy stored due to interactions between objects in a system stored energy due to the gravitational force between objects position where GPE is defined to be zero the sum of the kinetic energy and potential energy of the particles in a system Student Edition, pp. 292–293 Identify two ways work can change the kinetic energy of an object. Science Notebook • Energy and Its Conservation 164 Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. stored energy due to an object’s change in shape 1 The Many Forms of Energy (continued) Student Edition, pp. 292–297 Differentiate When should Wg = mgh have a negative sign? Describe the work done by gravity as the orange rises from the juggler’s hand. GET IT? Explain why it is important to specify a reference level before you calculate the gravitational potential energy of an object. Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. Use with Example Problem 1. Use this column for scratch work and sketches. TRY IT ! Problem GRAVITATIONAL POTENTIAL ENERGY You lift a 6.5-kg backpack from a chair that is 0.47 m above the floor (hc) to a desk that is 0.75 m above the floor (hd) a. When the backpack is on the desk, what is the backpack-Earth system’s gravitational potential energy relative to the floor (GPE1)? b. When the backpack is on the desk, what is the backpack-Earth system’s gravitational potential energy relative to the chair (GPE2)? c. How much work was done by gravity as you lifted the backpack from the chair to the desk? 1. ANALYZE AND SKETCH THE PROBLEM KNOWNS UNKNOWNS m= g= =? hd = hc = =? Science Notebook • Energy and Its Conservation 165 =? 1 The Many Forms of Energy (continued) Student Edition, pp. 297–300 TRY IT ! (continued) 2. SOLVE FOR THE UNKNOWNS a. Set the floor as the reference level. Determine GPE1. b. Set the chair as the reference level. Determine GPE2. First determine the height of the desk relative to the chair. Next use this difference in height to determine GPE2. c. Calculate work by multiplying the weight of the backpack times the distance it was lifted. The direction of weight is opposite that of h. • Explain why the two values of GPE are reasonable. GET IT? Define the term elastic potential energy. Decide A student states that thermal energy is the sum of an object’s kinetic energy and potential energy. What is wrong with the statement? Science Notebook • Energy and Its Conservation 166 Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 3. EVALUATE THE ANSWER 1 The Many Forms of Energy (continued) SUMMARIZE How does the MAINIDEA for this section relate to the chapter’s BIGIDEA? REVIEW IT ! 11. MAINIDEA How can you apply the work-energy theorem to lifting a bowling ball from a storage rack to your shoulder? 12. Elastic Potential Energy You get a spring-loaded jumping toy ready by compressing the spring. The toy then flies straight up. Draw bar graphs that describe the forms of energy present in the following instances. Assume the system includes the spring toy and Earth. Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. a. The toy is pushed down, thereby compressing the spring. b. The spring expands and the toy jumps. c. The toy reaches the top of its flight. Science Notebook • Energy and Its Conservation 167 1 The Many Forms of Energy (continued) 12. Potential Energy A 25.0-kg shell is shot from a cannon at Earth’s surface. The reference level is Earth’s surface. a. What is the shell-Earth system’s gravitational potential energy when the shell’s height is 425 m? b. What is the change in the system’s potential energy when the shell falls to a height of 225 m? 13. Potential Energy A 90.0 kg rock climber climbs 45.0 m upward, then descends 85.0 m. The initial height is the reference level. Find the potential energy of the climber-Earth system at the top and at the bottom. Draw bar graphs for both situations. Science Notebook • Energy and Its Conservation 168 Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 14. Rotational Kinetic Energy On a playground, some children push a merry-go-round so that it turns twice as fast as it did before they pushed it. What are the relative changes in angular momentum and rotational kinetic energy of the merry-go-round? 1 The Many Forms of Energy (continued) 15. Critical Thinking Karl uses an air hose to exert a constant horizontal force on a puck, which is on a frictionless air table. The force is constant as the puck moves a fixed distance. Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. a. Explain what happens in terms of work and energy. Draw bar graphs. b. Suppose Karl uses a different puck with half the first one’s mass. All other conditions remain the same. How should the kinetic energy and work done differ from those in the first situation? c. Describe what happened in parts a and b in terms of impulse and momentum. Science Notebook • Energy and Its Conservation 169