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Physics 1710 Chapter 8—Potential Energy

Equilibrium point X o = 1. Physics 1710 Chapter 8—Potential Energy. F x. F x = -dU/dx = -1 + x. U. x. Potential Energy Graph. x. U = x- 0.5 x 2. Physics 1710 Chapter 8—Potential Energy. 1 ′ Lecture F = - ∇ U = negative gradient of U.

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Physics 1710 Chapter 8—Potential Energy

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  1. Equilibrium point Xo = 1 Physics 1710 Chapter 8—Potential Energy Fx Fx = -dU/dx = -1 + x U x Potential Energy Graph x U = x- 0.5 x2

  2. Physics 1710 Chapter 8—Potential Energy 1′ Lecture F = - ∇U = negative gradient of U. The Potential Energy graph is a complete description of the dynamics of a system.

  3. + + + + - - - - + + + + + + + - - - - + + + + + + + + - - - - + + + + + + + + + 0 Electrostatic Precipitator Physics 1710 Chapter 8—Potential Energy U = - 2.0 J (ln (r/a)+1) Fr = -dU/dr = 2.0/r = 2000N

  4. F F Equilibrium 0 Lennard-Jones Potential Energy Function Physics 1710 Chapter 8—Potential Energy U = 4ε[(σ/x)12 - (σ/x)6] F = -dU/dx = -4εx[12 (σ/x)12 - 6(σ/x)6]

  5. F F Equilibrium 0 Lennard-Jones Potential Energy Function Physics 1710 Chapter 8—Potential Energy F = -dU/dx = -24εx[6 (σ/x)12 - (σ/x)6] a =(6σ)1/6

  6. F F Equilibrium 0 Lennard-Jones Potential Energy Function Physics 1710 Chapter 8—Potential Energy U = 4ε[(σ/x)12 - (σ/x)6] F = -dU/dx = -4εx[12 (σ/x)12 - 6(σ/x)6]

  7. Physics 1710—Chapter 1 Measurement • Summary F = - ∇U = negative gradient of U. The Potential Energy graph is a complete description of the dynamics of a system.

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