Bryant Noriega 11 Energy and Its Conservation BIGIDEA Write the Big Idea for this chapter. Within a closed, isolated system, energy can change form but the total energy is constant 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. kinetic energy is due to an object's motion, and potential energy is energy due to the interactions of two or more objects REVIEW VOCABULARY Recall and write the definition of the Review Vocabulary term. system system the object or objects of interest that can interact with each other and with the outside world NEW VOCABULARY rotational kinetic energy potential energy 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 gravitational potential energy stored energy due to the gravitational force between objects reference angle elastic potential energy Student Edition, pp. 292–293 stored energy due to an object’s change in shape the sum of the kinetic energy and potential energy of the particles in a system Identify two ways work can change the kinetic energy of an object. work can be done by a force to increase velocity. It can also cause friction to oppose the force and decrease velocity Science Notebook • Energy and Its Conservation 164 Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. thermal energy position where GPE is defined to be zero 1 The Many Forms of Energy (continued) Student Edition, pp. 292–297 Differentiate When should Wg = mgh have a negative sign? when the objects displacement is upward and gravitational force is downward Describe the work done by gravity as the orange rises from the juggler’s hand. GET IT? while the orange moves upward gravity does negative work, on the way back down, gravity does positive work increasing speed and kinetic Explain why it is important to specify a reference level before you calculate the gravitational potential energy of an object. It is important to determine a reference level before calculating the GPE because you will need to know where the stored energy will equal to zero 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 = 6.5 kg g = 9.8 n/ Kg GPE 1 = ? w hd = 0.75 m hc = 0.47 m GPE 2 = ? 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. stored energy due to an objects change in shape 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? Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 3. EVALUATE THE ANSWER Thermal energy the sum of the kinetic energy and potential energy of the particles in a system Science Notebook • Energy and Its Conservation 166 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? the balls kinetic energy while resting on the rock is zero which means the work done on the ball would be zero 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? = (25)(9.8)(225) = 104125 J 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. the angular momentum would also double because it relates to velocity. the rotational KE would be 4 times as much because it relates to the angular velocity squared 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. a. Explain what happens in terms of work and energy. Draw bar graphs. he exerted a constant force over a certain distance which changed the work 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? it would still receive the same work and has the same change in energy. but it will Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. move faster c. Describe what happened in parts a and b in terms of impulse and momentum. Science Notebook • Energy and Its Conservation 169