Advanced/Notes 7.4
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This document summarizes the concepts of conservation of energy and momentum in collisions. It discusses how to apply conservation of energy and momentum to one-dimensional problems involving elastic and inelastic collisions. Elastic collisions are defined as collisions where kinetic energy is conserved, while momentum is conserved in all collisions. The document provides an example problem solving for the velocities of particles after an elastic head-on collision given their masses and initial velocities.
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Advanced/Notes 7.4
- 1. Conservation of Energy and Momentum in Collisions Section 7.4 – 7.5
- 2. • How do we apply conservation of energy and momentum to one dimensional problems? Conservation of Momentum
- 3. • Momentum is conserved in all collisions • Elastic Collisions: collisions where kinetic energy is conserved • Inelastic Collisions: Conservation
- 4. • Two objects colliding elastically • Know masses and initial speeds Elastic Collisions in One Dimension
- 5. • Momentum and kinetic energy are conserved • mAvA + mBvB = mAvA’ + mBvB’ • Use ‘ to show final speeds • Two unknowns! Elastic Collisions in One Dimension
- 6. • Do some algebra (page 176, if you are interested) • vA – vB = vA’ – vB’ Elastic Collisions
- 7. • A proton of mass 1.01 u traveling with a speed of 3.60 x 104 m/s has an elastic head-on collision with a helium nucleus. The helium nucleus has a mass of 4.00 u and is initially at rest. What are the velocities of the proton and helium nucleus after the collision? • 1 u = 1 unified atomic mass unit = 3.6 x 10-27 kg, but we don’t need this Example
- 8. • Read Sections 7.4 and 7.5 • Do Problems # 22 - 27, Page 189 Homework