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Conservation of Energy BIOE201-B The Law of Conservation of Energy • Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. What is energy? • “the ability to do work” • The combination of energy and matter make up the universe: – Matter is substance, and energy is the mover of substance. A Simple Example This boiling tea kettle represents energy in motion. The water in the kettle is turning to water vapor because heat is being transferred from the stove to the kettle. As the entire system gets hotter, work is done—from the evaporation of the water to the whistling of the kettle. (credit: Gina Hamilton) Six fundamental forms of energy 1. 2. 3. 4. 5. 6. mechanical energy thermal (heat) energy electromagnetic energy electrical energy nuclear energy chemical energy First Law of Thermodynamics The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system. In equation form, the first law of thermodynamics is ΔU=Q−W. • • • Heat and work are the methods of transferring energy for a system in thermal equilibrium Q represents the net heat transfer—it is the sum of all heat transfers into and out of the system. Q is positive for net heat transfer into the system. W is the total work done on and by the system. W is positive when more work is done by the system than on it. Making the Link: The First Law of Thermodynamics and Law of Conservation of Energy The first law gives the relationship between heat transfer, work done, and the change in internal energy of a system. Heat transfer (Q) and doing work (W) • The processes are quite different. • Heat transfer, a less organized process, is driven by temperature differences. • Work, a quite organized process, involves a macroscopic force exerted through a distance. • Heat and work can produce identical results. Heat transfer (Q) and doing work (W) Both can cause a temperature increase. Heat transfer and work are both energy in transit—neither is stored as such in a system. However, both can change the internal energy U of a system. Internal energy is a form of energy completely different from either heat or work. Energy is nature’s way of keeping score • We sense energy only when the score changes • either a transformation from one form of energy to another • or a transfer of energy from one point to another How is all energy divided? All Energy Potential Energy Gravitation Potential Energy Elastic Potential Energy Internal Energy Kinetic Energy Chemical Potential Energy Electromagnetic Potential Energy Other Form of Energy (OE) When does OE play a role? One example occurs when a person eats. Food is oxidized with the release of carbon dioxide, water, and energy. Some of this chemical energy is converted to kinetic energy when the person moves. Some of this chemical energy is converted to potential energy when the person changes altitude, and to thermal energy (another form of OE). Energy of Various Objects and Phenomena Object/phenomenon Energy in joules 68 Big Bang 10 Energy released in a supernova 10 Annual world energy use 44 20 4×10 14 1 kg hydrogen (fusion to helium) 6.4×10 1 kg uranium (nuclear fission) 8.0×10 Hiroshima-size fission bomb (10 kiloton) 4.2×10 90,000-ton aircraft carrier at 30 knots 1.1×10 1 barrel crude oil 5.9×10 1 ton TNT 4.2×10 1 gallon of gasoline 1.2×10 Daily home electricity use (developed countries) 13 13 10 9 9 8 7 7×10 7 Daily adult food intake (recommended) 1.2×10 1000-kg car at 90 km/h 3.1×10 1 g fat (9.3 kcal) 3.9×10 ATP hydrolysis reaction 3.2×10 1 g carbohydrate (4.1 kcal) 1.7×10 1 g protein (4.1 kcal) 1.7×10 Tennis ball at 100 km/h 5 4 4 4 4 22 −6 Mosquito (10–2g at 0.5 m/s) 1.3×10 Single electron in a TV tube beam 4.0×10 Energy to break one DNA strand 10 http://cnx.org/contents/c5adb012-fbab-41a7-b5b2-4644984097fc@5#import-auto-id2866785 −15 −19 Potential • energy of position or energy in storage • Water behind a dam • Hammer over head • Food on the plate Kinetic • energy of motion, form capable of doing work • Flowing water • A falling hammer • Electrons regenerating ATP in a biological cell PE = mgh • m = mass (kg) • h = height (m) • g = accelaration due to gravity – (9.8 m/s2) www.rigastagweekend.com Gravitational Potential Energy (Ep)? o Potential energy due to an object’s position o P.E. = mass x height x gravity What is Potential Energy? o Energy that is stored and waiting to be used later What is Elastic Potential Energy? o Potential energy due to compression or expansion of an elastic object. What is Chemical Potential Energy? o Potential energy stored within the chemical bonds of an object Kinetic Energy (Ek) o Energy an object has due to its motion o K.E. = 1/2(mass x speed2) KE = 1/2 m v2 • • • • 4 kg bowling ball at 10 m/s = 0.5 (4kg) (10m/s)2 = 200 J • • • • 0.25 kg baseball at 50 m/s = 0.5 (.25kg) (50 m/s)2 = 312 J Energy changes in a mechanical oscillator Pendulum Motion Work The baseball pitcher put kinetic energy into the ball, so he did work on it. To do the greatest possible amount of work, he applied the greatest possible force over the greatest possible distance. Work is done when a force is exerted over a distance Work • is equal to the force that is exerted times the distance over which it is exerted. • W=Fxd • The unit of work combines the unit of force (N) with the unit of distance (m) • Newton-meter (N-m) aka Joule. You carry a 20 kg suitcase upstairs, a distance of 4m. How much work did you do? • • • • • • W=Fxd F = ma = (20 kg) (10m/s2) = 200 N W=Fxd = (200 N) (4m) = 800 J Power • measures the rate of work done. • or the rate at which energy is expended. • Power is the amount of work done, divided by the time it takes to do it. • Power (watts) = work (joules) / time (sec) • P = W/t Power • Since work performed equals energy expended, • Power (watts) = energy (joules) / time (sec) • The watt is defined as the expenditure of 1 joule of energy in 1 second. (75 watt light bulb consumes 75 J/sec) Important formulas and units Quantity Force Work Energy Power Definition mass x accel. force x distance power x time work / time Units newtons joules joules watts Ex. Problem on Power: • Your CD system, uses 250 watts of electrical power. • You play it for 3 hrs. How much energy used? About how much would it cost? If one kWh is $.08. • Energy (J) = power (watts) x time (sec) = (250w) (3hr) = 750 Whr = .75 kWh • The cost = 8 cents/ kWh x .75 kWh • = 6 cents Power = work / time • Two physics students, Will N. Andable and Ben Pumpiniron, are in the weightlifting room. Will lifts the 100-pound barbell over his head 10 times in one minute; Ben lifts the 100pound barbell over his head 10 times in 10 seconds. Which student does the most work? Which student delivers the most power? Drawing Conclusions • • • • • Two divers of equal mass about to dive Diver A has > Potential Energy than B Compare divers positions Which diver will hit water @ highest speed What happens to energy when diver enters the water? What is the source of our energy? • The source of practically all our energy is the Sun. What is Mechanical Energy? o Energy due to a object’s motion (kinetic) or position (potential). • The bowling ball has mechanical energy. • When the ball strikes the pins, mechanical energy is transferred to the pins! Examples of Mechanical Energy What is Electromagnetic Energy? o Light energy o Includes energy from gamma rays, xrays, ultraviolet rays, visible light, infrared rays, microwave and radio bands What is Electrical Energy? o Energy caused by the movement of electrons o Easily transported through power lines and converted into other forms of energy What is Chemical Energy? o Energy that is available for release from chemical reactions. The chemical bonds in a matchstick store energy that is transformed into thermal energy when the match is struck. Examples of Chemical Energy What is Thermal Energy? o Heat energy o The heat energy of an object determines how active its atoms are. A hot object is one whose atoms and molecules are excited and show rapid movement. A cooler object's molecules and atoms will show less movement. What type of energy cooks food in a microwave oven? ELECTROMAGNETIC ENERGY What type of energy is the spinning plate inside of a microwave oven? MECHANICAL ENERGY Electrical energy is transported to your house through power lines. When you plug an electric fan to a power outlet, electrical energy is transform into what type of energy? MECHANICAL ENERGY What energy transformation occurs when an electric lamp is turned on? ELECTRICAL ENERGY ELECTROMAGNETIC ENERGY The golfer in the photo is taking a swing. The golf club starts at Point A and ends at Point E. • Inferring At which point(s) does the golf club have the greatest potential energy? At which point(s) does it have the greatest kinetic energy? • Interpreting Diagrams Describe the energy transformations from Point A to Point E. • Drawing Conclusions The kinetic energy of the club at Point C is more than the potential energy of the club at Point B. Does this mean that the law of conservation of energy is violated? Why or why not? http://mycampus.nationalhighschool.com/doc/sc/Physical%20Science/iText/products/0-13-190327-6/ch13/ch13_ra_0.html What types of energy are shown below? Mechanical and Thermal Energy (Don’t forget friction) What type of energy is shown below? Chemical Energy What types of energy are shown below? Electrical, Mechanical and Electromagnetic Energy What type of energy is shown below? Chemical Energy (yummy) What type of energy is shown below? Thermal Energy What types of energy are shown below? Mechanical, Electromagnetic, Electrical, Chemical and Thermal Energy The Law of Conservation of Energy • Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. Bioenergetics Ultimately, most life forms get their energy from the sun. Plants use photosynthesis to capture sunlight, and herbivores eat the plants to obtain energy. Carnivores eat the herbivores, and eventual decomposition of plant and animal material contributes to the nutrient pool. http://cnx.org/contents/acdec277-bfc3-4144-8daa-c8d4264b5bd2@1 Bioenergetics is the concept of energy flow through living systems, such as cells. Cellular processes such as the building and breaking down of complex molecules occur through stepwise chemical reactions. Some of these chemical reactions are spontaneous and release energy, whereas others require energy to proceed. http://cnx.org/contents/acdec277-bfc3-4144-8daa-c8d4264b5bd2@1