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Physics 1A, Section 6

Brush up on collision problems in physics, covering momentum, energy conservation, and more to ace your quizzes and exams. Includes readings on potential energy, kinetic energy, and Newtonian gravity. Practice problems and lectures provide a comprehensive review for mastering this topic.

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Physics 1A, Section 6

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  1. Physics 1A, Section 6 November 6, 2008

  2. Section Business • Quiz 2 grades: • mean = 16.1 / 20 • median = 16.5 / 20 • Homework #6: Replace FP5 with QP23 • Quiz 3 will cover: • reading through T.M.U. chapter 11 • lectures/sections through today (Nov. 6) • New material includes: • conservation of momentum and energy • non-inertial frames

  3. Reading/Lecture Review • T.M.U. chapters 10-11 + lectures: • potential energy U and kinetic energy K • translational kinetic energy: K = ½ mv2 • uniform gravity: U = mgh • Newtonian gravity: U = -GmM/r • spring: U = ½ kd2 • nonconservative forces: friction, air resistance • Fx = -dU/dx; stable and unstable equilibrium • work: W = energy input = ∫F•ds • power = dW/dt = F•v • momentum p = mv • center of mass: rcm = S miri / S mi • systems of particles • impulsive forces and collision problems

  4. Crash Course in Collision Problems • Assume collision happens in an instant. • Describe “before” and “after” cases, nearly simultaneous. • During collision, ignore relatively weak external forces, compared to strong impulsive forces. • Momentum is conserved: • mjvj = constant • Kinetic energy: • elastic: 1/2 mjvj2 = constant • (partially) inelastic: 1/2 mjvj2 decreases • completely inelastic: objects stick to each other

  5. Quiz Problem 38

  6. Quiz Problem 38 • Answer: • v0 = sqrt[2g(h-2a)] • before ball collision: M upward, m downward • v1 = v0 (3M-m)/(M+m) = 2v0 • height = 4h – 3a

  7. Monday, November 10: • Final Problem 19 (collision + oscillatory motion) • Quiz Problem 53 (oscillatory motion) • Optional, but helpful, to look at these in advance.

  8. Section Business • Quiz 2 grades: • mean = 16.1 / 20 • median = 16.5 / 20 • Homework #6: Replace FP5 with QP23 • Quiz 3 will cover: • reading through T.M.U. chapter 11 • lectures/sections through today (Nov. 6) • New material includes: • conservation of momentum and energy • non-inertial frames

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