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Classical Mechanical Energy

Classical Mechanical Energy. Kevin Choe. What is the Mechanical energy?. Gravitational Potential Energy Kinetic Energy Total Mechanical Energy Demo Derive equation Problem Solving. Potential energy. T he stored energy of position possessed by an object Equation PE = mgh

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Classical Mechanical Energy

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  1. Classical Mechanical Energy Kevin Choe

  2. What is the Mechanical energy? • Gravitational Potential Energy • Kinetic Energy • Total Mechanical Energy • Demo • Derive equation • Problem Solving

  3. Potential energy • The stored energy of position possessed by an object • Equation • PE = mgh • Unit of Potential Energy • (kg)(m/s2)(m) = (kg)(m2/s2) = J

  4. Kinetic Energy • Energy of motion • Equation • KE = 1/2mv2 • Unit of Kinetic Energy • (kg)(m/s)2 = (kg)(m2/s2) = J

  5. Example (Falling Ball)

  6. Graph of the experiment

  7. Total Mechanical Energy • What do you see in terms of deriving an equation? • KEi+PEi= KEf+PEf • (1/2mvi2) + (mghi) = (1/2mvf2) + (mghf)

  8. Problem • What is the speed of the object right before hitting the ground? • Derive Vbottom equation from the Total Mechanical energy. (KEi+PEi = KEf+PEf) • Play simple algebra

  9. Calculation • KEtop+PEtop = KEbottom+PEbottom • (1/2mvtop2) + (mghtop) = (1/2mvbottom2) + (mghbottom) • (mghtop) = (1/2mvbottom2) • (ghtop) = (1/2vbottom2) • 2ghtop = vbottom2 • vbottom = Sqrt(2ghtop)

  10. Source • http://www.physicsclassroom.com • http://www.citejournal.org/vol4/iss3/science/article1.cfm

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