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Physics Teacher Notes - Grothaus Chapter 9 – Energy Title: Energy *** Energy can change from one form to another without a net loss or gain *** The idea of energy was unknown to Isaac Newton Its existence was still being debated in the 1850’s The concept of energy is now ingrained in every branch of science and in every aspect of our society Examples of where we find energy Can we see energy? We can only observe the effects of energy when something is happening When energy is being transferred from one place to another or transformed from one form to another 9.1 Work Impulse (change in momentum) is equal to the amount of force and “how long” the force acts: Impulse = Ft “How long” can mean time, but can also mean distance. Work is the product of the amount of Force and the distance through which the object is moved Work is done when a force acts on an object and the object moves in the direction of the force (work is a vector) Work = net force x distance W = Fd (ex: twice as much weight, or twice as far) Weight lifter – when is work done? Work done to lift the barbells, but as he holds it up there, he is no longer doing work on them. Work may be done in a biological way in the body. (heart rate pushing blood over distances, small changes in tissues, etc. Push a wall? If work is being done on an object, the energy of that object changes! Work – two categories 1. work done against another force Conceptual Physics Page 1 of 8 Physics Teacher Notes - Grothaus Chapter 9 – Energy Ex: archery (against the elastic bowstring), push-ups (against your weight), push a box across the floor (against friction) 2. change the speed of an object Ex: changing the speed of a car Both – transfer of energy between something and its surroundings W = Fd Newtons x meters = joule 1 joule = force of 1 N exerted over 1 m (kilo- 1000; mega- 1,000,000) Example: Work is done lifting a barbell. How much more work is done lifting a barbell with twice as much weight on it? How much work is done lifting a twice-as-heavy barbell twice as far? Review: Work is done when a force acts on an object and the object moves in the direction of the force. 9.2 Power Remember when we talked about velocity and acceleration. Acceleration is how fast velocity is changing. Like velocity, work doesn’t take into consideration the amount of time it takes to do the work. Carry the same load up the stairs walking and running Same amount of work, but why are you more tired when you run? How fast the work is done is Power (the rate at which work is done) (remember what rate is?) Power equals the amount of work done divide by the time interval during which the work is done. A car engine that has twice as much power doesn’t produce twice as much work or go twice as fast as the other engine, but it can do twice the amount of work in the same amount of time or do the same amount of work in half the time Conceptual Physics Page 2 of 8 Chapter 9 – Energy Physics Teacher Notes - Grothaus 𝒑𝒑𝒑𝒑𝒑 = 𝒑𝒑𝒑𝒑 𝒑𝒑𝒑𝒑/ 𝒑𝒑𝒑𝒑 𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑 P W t ; = 𝑗𝑗𝑗𝑗𝑗𝑗 /𝑗𝑗𝑗 watt = watt = W Joule sec 1 W = one joule of work is done in one second Space shuttle uses 33,000 megawatts (MW) of power for lift off In the United States: horsepower (hp) for cars, kW for electricity 0.75 kW = 1 hp 134 hp energy? Ex: To lift a quarter pound hamburger with cheese 1 meter in 1 second requires 1 watt of power. p. 168: 33, 37 9.3 Mechanical Energy When you pull a bowstring, stretch a rubber band, wind a spring, you enable these things to do work Could be the compression of atoms in the material; A physical separation of magnets A rearrangement of electrical charges in the molecules of a substance The property of an object or system that enables it to do work is energy Energy is measured in joules (like Work) because when work is done, there is a change of energy – the two are closely related (like impulse and momentum) Many forms Mechanical Energy is the energy due to the position of something or the movement of something. 1. kinetic energy 2. potential energy Conceptual Physics Page 3 of 8 Physics Teacher Notes - Grothaus Chapter 9 – Energy Mechanical Energy becomes evident only when it changes from one form to another, or when there is motion Mechanical Energy is relative to a frame of reference Depends on the location we choose for our reference Ex. A 1-N apple held 1 m above the floor has 1 J of PE Same apple held out the window 10 m up, has 10 J of PE 9.4 Potential Energy Just like it sounds, potential energy is energy that is stored and held in readiness. There are three examples of potential energy: elastic potential energy, chemical energy and gravitational potential energy Elastic potential energy: A stretched or compressed spring; a bow being drawn back; a stretched rubber band (part of a slingshot) All have a potential to do work. Chemical Energy: chemical energy in fuels is potential energy. Has to do with the energy of position at the subatomic level. Fossil fuels, electric batteries, digestion of food we eat, conversion of solar energy to chemical energy in plants Gravitational Potential Energy: Work is needed to pick things up against Earth’s gravity. (push up) The potential energy due to elevated positions is called GPE See picture on p. 148 Conceptual Physics Page 4 of 8 Physics Teacher Notes - Grothaus Chapter 9 – Energy The amount of GPE possessed by an elevated object is equal to the amount of work done against gravity to get it to that elevation (only vertical distance) Remember that W = Fd (joules) Also remember that Weight = mg (ma, where a = g) and that weight is a force The upward force needed when moving at constant velocity is the weight of the object, so the work done in lifting it through a height h is the product mgh (weight x height) Gravitational potential energy = weight x height PE = mgh (units?) Height is the distance above some reference level Floor vs. ground (out window, neg. height) p. 148 again. Figure 9.3 Doesn’t matter what path got it there Hydroelectric plants use GPE Water from an upper reservoir flows thru a long tunnel to an electric generator GPE of the water is changed to electrical energy At night, when there isn’t as much demand for energy, these plants might buy energy when it’s cheap to bring the water back up to the top of the reservoir: pumped storage (Drop a bowling ball on your toe – from 1 mm or from 1 m Same mass, same weight, but more GPE – so more work) (math practice) 9.5 Kinetic Energy If an object is moving, then it’s capable of doing work. Energy of motion is called Kinetic Energy (KE) (KE comprises thermal energy, sound, and light) Depends on the mass as well as the speed of the object 1 KE mv 2 (show units) 2 Conceptual Physics Page 5 of 8 Chapter 9 – Energy Physics Teacher Notes - Grothaus The kinetic energy of a moving object is equal to the work required to bring it to its speed from rest, or the work the object can do while being brought to rest. 𝑗𝑗𝑗 𝑗𝑗𝑗𝑗𝑗 𝑗 𝑗𝑗𝑗𝑗𝑗𝑗𝑗𝑗 = 𝑗𝑗𝑗𝑗𝑗𝑗𝑗 𝑗𝑗𝑗𝑗𝑗𝑗 1 Fd mv 2 2 Note what happens when you double mass – (double mass, double KE) Note what happens when you double speed - (double velocity, quadruple KE) It takes four times as much work to double the speed or an object moving twice as fast takes four times as much work to stop it. What happens when you triple the velocity? Whenever work is done, energy is changed Science of bouncing: https://www.youtube.com/watch?v=9MwyVpVdvVA 9.7 Conservation of Energy The law of conservation of energy states that energy cannot be created or destroyed. It can be transformed from one form into another, but the total amount of energy never changes. Bow and arrow: bow’s PE transferred to arrow in KE W = Fd Force of impact times distance travelled is not quite equal to the KE. Some energy lost through heat Conceptual Physics Page 6 of 8 Physics Teacher Notes - Grothaus Conceptual Physics Chapter 9 – Energy Page 7 of 8 Physics Teacher Notes - Grothaus Chapter 9 – Energy Bottom line: energy may change form, but total energy stays exactly the same Test on Friday / Monday: Look at the momentum vocabulary and the reading guide. Train example? Energy: vocab, reading guide, be able to solve problems (math practice from last night), “relationship” problems. Conservation of energy problems (lab) PE at the top = KE at the bottom!! Conceptual Physics Page 8 of 8