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Energy
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Energy Mechanical Nonmechanical Potential Kinetic Electrical Nuclear
Chemical Elastic Gravitational
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Mechanical Energy Mechanical energy is the sum of kinetic energy and potential energy ME = KE + PE
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Conservation of ME MEi = MEf
With friction, this is not true because some energy is lost to heat and sound.
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Kinetic Energy KE = energy due to motion. KE = ½ mv2
Unit= the joule (J)
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Potential Energy PE= stored energy GPE= energy due to position GPE = m· g· h
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Elastic Potential Energy
EPE = energy in a stretched or compressed elastic object EPE = ½ kx2
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Spring Constant k = spring constant
Spring constant expresses how resistant a spring is to being compressed or stretched.
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Spring Constant Flexible spring = small k Stiff Spring = large k
Spring constant = N/m
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Work-kinetic energy theorem
The net work done on an object is equal to the change in kinetic energy of object. Wnet = ½ mv2f – ½ mv2i F x d = ½ mv2f – ½ mv2i
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Practice 1. Calculate the speed of an 8000 kg airliner with KE of 1.1 x 109 J. Knowns: m = 8000 kg, KE = 1.1 x 109 J Unknown: V = ? Equation: KE = ½ mv2 1.1 x 109 J = .5(8000)v2 = m/s
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Practice 2. A person kicks a 10kg sled, giving an initial speed of 2.2m/s. How far does it move if the force applied is 9.8 N? Known: m = 10kg, vi = 2.2m/s, vf = 0, F = 9.8 Unknown: d = ? Equation: F x d = ½ mv2f – ½ mv2i 9.8 x d = (10)2.22 D = 2.4 m
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