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Published byDuane Roberts Modified over 8 years ago
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Work, Energy and Power
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Work and Energy Work is defined as the transforming or converting from one form of energy into another form of energy. Every time you flip on a light switch, work is being done. It is changing electrical energy in to heat (light). Energy is the ability to do work or effect change.
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Different Forms of Energy Kinetic energy (motion) Elastic energy (springs) Electrical energy (batteries) Thermal energy (fire) Radiation energy (light) Gravitational energy Chemical energy (food) Wind energy Sound energy (sound waves) Hydraulic energy (waterfalls) Nuclear energy (atomic nuclei, the sun)
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Potential Energy vs Kinetic Energy Potential Energy – is energy that can be stored in an object. A battery has potential Energy as it has a lot of energy stored in it (electrical) that is just waiting to be used. Kinetic Energy - is the energy that an object has because of its motion. When I move I release energy that I had stored up in my body.
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Potential vs Kinetic Energy Ex. When you throw a ball up in the air, you give it kinetic energy (it moves). This energy is transformed into gravitational potential energy as the ball rises. At the balls highest point, all the kinetic energy has been transformed into potential energy. As the ball comes back down, gravitational potential energy is transformed into motion which is kinetic energy.
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Potential vs Kinetic Energy Kinetic energy has a relationship between mass and velocity. The greater the mass or the speed, the greater the kinetic energy. KE = 1mv 2 2 Where KE is Kinetic Energy measured in joules, m is mass measured in kg and v is velocity is measured in m/s.
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Work and Energy W = KE final – KE initial W = ∆KE Where W is work and it is measured in joules and KE is kinetic energy measured in joules.
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Law of Conservation of Energy Work can then be deduced as a change of energy from one type to another. Thus W = ∆E This is known as the Law of Conservation of Energy - Energy can be neither created nor destroyed; it can only be transferred or transformed. So the amount of energy needed to turn on a light bulb derived from the potential electrical energy passing through it.
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Power and Watts Power is the rate at which energy is transformed or, the rate at which work is done. It is measured in Watts. P = ∆E ∆t Where P is power and is measured in Watts, E is energy measured in Joules and t is time in seconds. 1watt = 1J/s
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Power and Watts Since we know that W = ∆E we can substitute W for ∆E P = W ∆t Where P is power in watts, W is work done in Joules, and t is the time interval in seconds.
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Kilowatt Hours Energy is commonly measured in Joules (J), but can also be measured in kilowatt hours (KWh). 1 kWh = 3 600 000 J KWh is used by B.C. Hydro to calculate your energy bill.
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Example #1 A stereo has a power rating of 200W & is used for 1800 seconds. How much energy is used? E = Pt E = (200)(1800) E = 360,000 J 360,000 Joules of energy were used to work the stereo
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Example #2 A video game has a power rating of 175W & is used for 3600 seconds. How much energy is used? E = Pt E = (175)(3600) E = 630,000 J 630,000 Joules of energy were used to work the video game
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Example #3 A hair dryer has a power rating of 425W & is used for 10 minutes. How much energy is used? E = Pt E = (425)(600) E = 255,000 J 255,000 Joules of energy were used to work the hair dryer
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Example #4 A stereo plays for 2 hours & 30 min (9000 seconds) & consumes 1, 800, 000 J of energy. What is the amount of wattage used? P = ∆E ∆t P =1,800,000 J 9000s P= 200 J/s or 200 Watts
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Example #5 A kettle is used for 5 min & has a power rating of 24 Watts. How much work is being done by the kettle? P = W ∆t W = P∆t W = (24 watts)(300s) W = 7,200 J
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Example #6 A 100 W light bulb is left on for 3 hours. How much energy did it use? Express your answer in scientific notation. 3 h (3600 s) = 10,800 s 1 h P = ∆E ∆E = P(∆t) ∆t∆E = 100 W(10,800 s) ∆E = 1,080,000 ∆E = 1.1 x 10 6
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Challenging Question A circuit has a resistance of 5Ω. If the battery powering the circuit has a voltage of 10V, how much power is used to run this circuit? R=V/I I= q/t V=E/q P=E/t V=P/I R = 5Ω V = 10 V P= ? I = ? Step 1 R=V/I 5 = 10 / I 5 I = 10 I = 10/5 I = 2 A Step 2 V=P/I 10 = P/2 10 * 2 = P P = 20 watts
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