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Chapter_8 - Chapter 8 Potential Energy and Conservation of...

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One form of energy can be converted into another form of energy. Conservation of energy Conservative and non-conservative forces Chapter 8: Potential Energy and Conservation of Energy Reading assignment: Ch. 8.1 to 8.5 Homework: QQ4, QQ5, AE7, AE8, AE11, 3, 6, 7, 10, 14, 15, 16, 22, 29, 40, 63 Due dates: Tu/Th, and MWF section : Thursday, March 3
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Potential energy U: - Can be thought of as stored energy that can either do work or be converted to kinetic energy. - When work gets done on an object, its potential and/or kinetic energy increases. - There are different types of potential energy: 1. Gravitational energy 2. Elastic potential energy (energy in a stretched spring) 3. Others (magnetic, electric, chemical, …). Won’t deal with those here.
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Gravitational potential energy: y g m U g = - Potential energy only depends on y (height) and not on x (lateral distance) ) ( i f i f g y y mg U U U - = - =
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Michael Jordan is 1.98 m tall, has a mass of 100 kg, does a vertical leap of 1.00 m and dunks successfully. How much gravitational potential energy has he gained at his highest point? A. 0 J B. 49 J C. 98 J D. 980 J E. None of the above Black board example 8.1 i-clicker
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) ( 2 1 2 2 f i x x k W - = Work done by a spring: xi xf 2 1 2 e U kx = Elastic potential energy stored in a spring: The spring is stretched or compresses from its equilibrium position by x
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Review important energy/work formulas: Work: 2 2 1 : energy potential Elastic kx U e = y g m U g = : energy potential nal Gravitatio cos x y z W F d F d F x F y F z θ = = × × = × + × + × r r r r 2 2 1 : energy Kinetic v m K = ( 29 = f i x x dx x F W
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