CHAPTER 1 Scientists’ Ideas INTERACTIONS AND ENERGY In this chapter you first learned a way of representing the motion of an object using speed-time graphs. Then you developed some ideas involving interactions and energy. You studied several types of interactions, energy transfers and energy changes. Types of Interactions: Contact Push/Pull, Heat Conduction, Infrared, Light and Electric Circuit Types of Energy Transfer: Mechanical, Heat, Light and Electrical Types of Energy Changes (within an object or system): Kinetic, Chemical potential and Thermal (‘Eye-Brain System’ energy was also included as a special type of energy associated with vision.) Below, after summarizing some ideas regarding the representation of motion, we summarize some of the ideas developed by scientists involving each of the types of interactions mentioned above. Below each type, we include a brief historical account of the development of some of those ideas. For each of the scientists’ ideas listed that is not just a definition, you should think about the evidence or examples from your own experiments that would support that idea. Ideas Involving the Representation of Motion Idea RM1 – Representing Motion on a Speed-Time Graph The ordinate value on a speed-time graph indicates the speed of the object at the given instant in time. A horizontal straight line on a speed-time graph indicates the object is moving at a constant speed. An upward-sloped straight line indicates the object is speeding up. A downward-sloped straight line indicates the object is slowing down. Evidence/examples: Idea RM2 – Representing Motion with Speed Arrows The motion of an object can be represented with speed arrows. The direction of the arrow indicates the direction the object is moving, and the length of the arrow is ©2008 PSET 1-163 Chapter 1 proportional to the speed of the object. By convention, the arrow is drawn above the object and with a half arrowhead. Object moving with lower speed Object moving with higher speed Ideas Involving the Energy Description of Interactions Idea E1 – Interactions can be described in terms of a Source/Receiver (S/R) energy diagram. During an interaction two objects act on or influence each other to cause some effect. One object is the energy source (where the energy comes from) and the other object is the energy receiver (where the energy goes). During the interaction, energy is transferred from the source to the receiver; there is a decrease in energy within the source and an increase in energy within the receiver. The S/R energy description of an interaction can be represented using the following diagram. By convention, the names of the interacting objects are included within rectangles, the type of energy transferred is included in a broad arrow, and the energy changes within the objects are included in ovals. Evidence/examples: 1-164 Scientists’ Ideas: Interactions and Energy Idea E2 – Interactions can be described in terms of an Input/Output (I/O) energy diagram. When a single object or system (of objects) is involved in more than one interaction with surrounding objects, it is convenient to focus only on the single object or system and show only the types of its interactions, the energy transfers (as a result of those interactions) into and out from the system, and the energy changes within the object or system. In these I/O energy diagrams, we do not show the other interacting objects. Evidence/examples: Ideas Involving Contact Push/Pull Interactions When scientists study the natural world they focus their attention on the interactions between objects and how they act on or influence each other during these interactions. Starting around the 17th century, ideas about energy were developed by many scientists. However, it was not until the mid-19th century that these various ideas were brought together. This was possible due to the work of James Prescott Joule, who showed that the increases in thermal energy produced in a friction-type contact push/pull interaction could be directly related to the change in the kinetic energy of the objects involved. Idea ME1 - Definition of a Contact Push/Pull Interaction A contact push/pull interaction occurs when any two touching objects push or pull each other. In the absence of an equally strong opposing contact push/pull interaction there is a change in the speed (and/or direction) of at least one of the objects involved. In terms of energy, during the contact push/pull interaction there is a transfer of mechanical energy from one object to the other. The object that outputs mechanical 1-165 Chapter 1 energy will simultaneously decrease in some type(s) of energy. For the object that receives the mechanical energy, there will be an increase in some type(s) of energy. Evidence/examples: Idea ME2 – Some Possible Energy Changes during a Contact Push/Pull Interaction The type of energy associated with the speed of an object is called kinetic energy. During a contact push/pull interaction, an object’s kinetic energy may increase or decrease, depending on whether mechanical energy is transferred into it or out from it. If a human person is the source of the contact push/pull interaction, then as mechanical energy is transferred out from the person, the chemical potential energy in the person decreases. As an example, here is an S/R energy diagram describing the interaction between a person’s hand and a cart, causing the cart to speed up. We are ignoring the effects of friction. Contact push/pull Interaction We can also describe this interaction with a pair of I/O energy diagrams. 1-166 Scientists’ Ideas: Interactions and Energy Contact Push/Pull Interaction Contact Push/Pull Interaction Idea ME3 - Contact Push/Pull Interactions involving friction A contact push/pull interaction occurs when two surfaces rub against each other. The evidence of such a friction-type contact push/pull interaction is that at least one of the objects involved slows down and the temperature of both the surfaces increases. In terms of energy, during a friction-type contact push/pull interaction there is a decrease in the kinetic energy of at least one of the objects involved and an increase in the thermal energy of both objects. As an example of an I/O energy diagram, consider a block sliding along a surface. There is a friction-type contact push/pull interaction between the block and surface and, as a result, both the block and table surface warm up. Also, as will be discussed below, there will be heat conduction/IR interactions between the block and table and the surroundings. If we treat the block and surface together as a system, the I/O energy diagram would look like this: Ideas Involving Light Interactions 1-167 Chapter 1 In the 17th century, Sir Isaac Newton introduced a theory to explain the behavior of light. Newton (and many other scientists) thought that light consisted of streams of some sort of particles (which they called corpuscles) emanating from light sources. The corpuscle theory was effective in explaining most observable phenomena, such as observations involving pinholes and mirrors (the corpuscles were thought to act like tennis balls bouncing off a wall at a certain angle). But it became very complicated when Newton had to start introducing more and more different types of corpuscles in order to explain his observations involving different colors of light. Christian Huygens criticized Newton’s corpuscular theory of light because of its complexity, and in 1678 he argued in favor of a different theory of light. He argued that light is not the transference of substance made of corpuscles but instead the transference of energy. Both theories were effective in explaining most observations but it wasn’t until the early 19th century that evidence that light was energy instead of a substance grew more persuasive. The experiments of Augustin Jean Fresnel, Thomas Young and others revealed many phenomena that can be understood on the basis of an energy explanation but not with the corpuscular model. Idea L1 - A light interaction occurs when a source of light illuminates an object In terms of energy, during a light interaction, light energy is transferred from the source (e.g. a bulb) to the receiver (e.g. an eye). Evidence/examples: Idea L2 – Light travels through a single material (like air) in straight lines. A light ray shows the direction that light travels. A light ray diagram is a description (a “story”) of how light travels as it goes from a source to a receiver (usually an eye), including how the light behaves when striking shiny and/or non-shiny surfaces between the source and receiver. Evidence/examples: Idea L3 - When light interacts with a shiny object, the light is reflected in a particular direction so that the angle at which the light reflects from the surface equals the angle at which the light strikes the surface. Evidence/examples: 1-168 Scientists’ Ideas: Interactions and Energy Idea L4 - When light interacts with a white, non-shiny object, the light is reflected in all directions away from its surface. Evidence/examples: Idea L5 – When you look at a light source, a mirror reflection or an illuminated, nonshiny surface, light enters your eye to enable you to see the object, reflection or surface. When light energy is transferred into the eye, enabling vision, there is an increase in Eye-Brain System energy. (This term is unique to this course.) Evidence/examples: Here are some examples of light ray diagrams and the corresponding S/R energy diagrams. Light ray diagram (seeing flashlight) Flashlight Eye S/R Energy diagram (seeing flashlight) 1-169 Chapter 1 Light ray diagram (shiny object) Light ray diagram (white, non–shiny object) S/R Energy diagram (shiny or non-shiny object) Idea L6 - When light interacts with a pure black object, all the light energy is absorbed in the object and none is reflected: The temperature of the black object increases, which means that its thermal energy increases. (With real black objects there usually is a small percentage of light that is reflected. For simplicity, however, we will ignore this small percentage of reflected light.) Here is an I/O energy diagram for a black card illuminated by light from some source. Because the card warms up, it transfers heat energy to the surroundings. 1-170 Scientists’ Ideas: Interactions and Energy When you look at a black object, no light enters your eye. When you look towards any object, and no light from that object enters your eye, the object will appear to be black. Evidence/examples: 1-171 Chapter 1 Ideas Involving Electric-Circuit Interactions By the 18th century experiments with electricity were the rage and scientists such as Stephen Gray and Charles Dufay began to notice the effect of connecting electrical materials together using a wire or a thread. A vital experimental finding in the history of the electric circuit interaction was discovered largely by accident by Luigi Galvani who produced an electrical convulsion in a frog’s leg. This accidental discovery led Alessandro Volta to construct the first “voltaic cells” or batteries in the early 19th century. Experiments with this device led to the discovery that a noticeable quantity of heat was generated in the wire connecting the battery to a device. This discovery was astonishing from the standpoint of energy because no external energy was being supplied to the battery. Therefore, scientists had to generate an understanding of energy transformations in order to explain the source of this heat. Idea EC1 - An electric-circuit interaction occurs when a source of electrical energy is connected in a closed path of conductors to an energy receiver: If the path is opened, or if a non-conductor (insulator) is placed in the direct path, then the electric-circuit interaction will cease occurring. Evidence/examples: Idea EC2 - Each device in an electric circuit is two-ended; and each end must be directly connected in the circuit: (If only one end of a device is connected in the circuit, then the device or circuit will not work.) Evidence/examples: Idea EC3: Electric-circuit interactions can be described in terms of electrical energy: During an electric-circuit interaction, electrical energy is transferred from the energy source to the energy receiver. Below are separate I/O energy diagrams for a battery and a bulb connected together in an electric circuit. 1-172 Scientists’ Ideas: Interactions and Energy Idea EC4 - Rate of electrical energy transferred into a bulb and its brightness The rate of electrical energy transferred into a bulb is the amount of electrical energy transferred into the bulb each second. The greater the rate, the brighter the bulb. The rate is measured in units called watts. (1 watt = 1 joule/sec) Evidence/examples: Idea EC5 – Series and Parallel Circuits Bulbs can be connected to a source of electrical energy (e.g. battery or generator) in two different ways: parallel or series. In a parallel circuit, each bulb is connected in its own loop with the energy source. Each bulb glows with the same brightness it would have if it were connected by itself to the energy source. If one bulb is removed, the other bulbs continue to glow with the same brightness. In a series circuit, all the bulbs are connected together in a single loop with the energy source. Although all bulbs glow with the same brightness, each bulb is dimmer than it would be if it were connected to the energy source by itself. If one bulb is removed, the circuit becomes open and all bulbs go out. Evidence/examples: 1-173 Chapter 1 Ideas Involving Heat Conduction and Infrared Interactions It should come as no surprise that the idea of fluids or substances was also used to explain the concept of heat in the 16th and 17th centuries. The process of heat transfer was formerly thought to be a flow of an invisible, weightless fluid called caloric. It was believed that in thermal interactions the caloric fluid flowed from one object to another. In 1798, Count Rumford rejected the idea of heat as an invisible, weightless fluid. He argued that the caloric model of heat could not account for the enormous amount of heat produced in a friction-type mechanical interaction, and that heat was really just another form of energy. It was James Prescott Joule’s experiments that finally convinced the scientific community of this. Keep in mind also that around the same time period, many of the other fluid-type theories (e.g. for electricity, magnetism, and light) were being challenged, modified and/or replaced by other models that were more effective in explaining observations. Experiments such as those conducted by James Joule, Sadi Carnot (1842) and Rudolph Clausius (1850) led to the adoption of the idea that heat flow is really a transfer of energy. Even though large-scale adoption of heat as a transfer of energy did not occur until the mid-19th century, many scientists did experiments involving heat and temperature long before then. In 1800 Sir Fredrick William Herschel began to study the heat properties of the rainbow of light that is created when sunlight is passed through a glass prism. He measured the temperature of each color and found not only that the temperature increased from the violet to the red part of the spectrum but also that the temperature continued to increase beyond the red part, where he could see no light. He found that this region had the highest temperature of all. Herschel referred to the energy in this region as “colorific rays,” now known as infrared radiation. Idea H1 - Objects can interact due solely to their temperature differences. During this interaction, heat energy is transferred from the warmer object to the cooler object. The warmer object decreases in thermal energy (and therefore decreases in temperature) and the cooler object increases in thermal energy (and therefore increases in temperature). The interaction stops when the two objects reach the same temperature. Evidence/examples: Idea H2 - A heat conduction interaction occurs between any two objects that are in contact (touching) and have different temperatures. Evidence/examples: 1-174 Scientists’ Ideas: Interactions and Energy Idea H3 - An infrared interaction occurs between any two objects that are near one another and have different temperatures. Evidence/examples: Idea H4 - Heat energy and thermal energy are different types of energy, and they do not mean the same thing. Thermal energy is a property of an object, and is related to the temperature of the object. It changes during most types of interactions, and when it does, the temperature of the object changes. Heat energy is a type of energy transfer between objects. It is not a property of a single object. It only exists when two objects at different temperatures are involved in either a heat conduction or an infrared interaction. Evidence/examples: Idea H5 - During any interaction involving the transfer of any type of energy into an object, the thermal energy of the object usually increases, and some heat energy is almost always transferred from the object or system to the surroundings (that is, nearby and touching objects). The amount of heat energy transferred to the surroundings may be small or it may be large. The greater the temperature difference between the object and its surroundings, the greater the rate at which heat energy is transferred from the object to its surroundings. Usually, when an object is warmer than its surroundings, there is both heat conduction and infrared interactions between the object and surroundings. Especially when drawing I/O energy diagrams, it is often useful to include both types of interactions together, since they both cause heat energy transfers to the surroundings. As a shorthand notation, we can write HC/IR Interactions to mean Heat Conduction and Infrared Interactions. For example, when a hand is holding a hot cup of coffee, the interactions between the cup and the surroundings, and between the hand and the surroundings, can be described with the following I/O energy diagrams. 1-175 Chapter 1 Ideas Involving Energy Conservation Up until the 18th century, many of the models of electric, magnetic, and light interactions were largely based on the idea of forces between tiny particles that made up a substance that flows from one object to another. It was not until the middle of the 19th century that energy became a primary concept on which physics was based. Throughout the 19th century, Sir James Prescott Joule spent much of his time trying to understand the relationship between mechanical energy and the changes in temperature that occur as a result of mechanical interactions. He developed a simple apparatus that allowed him to measure the relationship between changes in motion energy and changes of the temperature of water that was stirred through a mechanical interaction. He found that the change in mechanical energy during the experiment was equal to the heat energy necessary to change the temperature of the water from its initial to its final value. Later work led to the recognition that these two forms of energy, mechanical and heat energy, were only two of many forms of energy. Sadi Carnot (1842) and Rudolph Clausius (1850) actually demonstrated the transformation of energy from one form to another. In a lecture in 1846, William Thompson (Lord Kelvin), referring to the work of Sir James Joule, announced that in his view, energy had become the primary concept on which physics was to be based. In 1847, Hermann von Helmholtz used mathematics to express that mechanical, light, heat, electricity, and magnetism were different manifestations of energy. In 1852 and 1855, W. J. Rankine declared that the term ‘energy’ could be applied to “ordinary motion and mechanical power, chemical action, heat, light, electricity magnetism, and other powers, known or unknown, which are convertible or commensurable with these.” Just a few years later, Michael Faraday published an essay called, ‘On the conservation of force.’ He understood this to mean the transformability and indestructibility of natural powers. In the essay, Faraday discussed the ambiguities of the phrase because he understood that force can be applied and removed. Rankin argued that a better way to express what Faraday was trying to say is the phrase ‘conservation of energy’ which was not ambiguous, for it is energy that is not created or destroyed. 1-176 Scientists’ Ideas: Interactions and Energy In drawing energy diagrams that can illustrate energy conservation, it is best to use the Input/Output types of energy diagrams. Idea C1 - Law of Conservation of Energy Energy cannot be created or destroyed, but only changed from one form to another. If, over a period of time, you keep track of the total amount of energy transferred into an object or system, the total amount of energy transferred out of the object or system, and the total energy change (which may be positive or negative) in the object or system, then: Energy Input = Energy Changes + Energy Output Total Energy INPUT Object or System Total Energy OUTPUT Energy CHANGES Evidence/examples: 1-177