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PHY221 Ch11: Conservation of Momentum

PHY221 Ch11: Conservation of Momentum. Recall main points: Where = Discussion and examples CM frame sum of momenta is zero (if no external force- If external force CM frame invalid because non =inertial) Inelastic collisions. Example: collision of 2 cars Example: Ballistic pendulum.

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PHY221 Ch11: Conservation of Momentum

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  1. PHY221 Ch11: Conservation of Momentum • Recall main points: • Where = • Discussion and examples • CM frame sum of momenta is zero (if no external force- If external force CM frame invalid because non =inertial) • Inelastic collisions. • Example: collision of 2 cars • Example: Ballistic pendulum

  2. PHY221 Ch11: Conservation of Momentum Main Points Proof: • Correlaries: =0

  3. PHY221 Ch11: Conservation of Momentum Questions

  4. PHY221 Ch11: Conservation of Momentum Discuss CM frame (needs Fext=0 otherwise not inertial) In CM frame total momentum is zero. Proof:

  5. PHY221 Ch11: Conservation of Momentum Discuss Ineslastic collision def: masses have same final velocity. v1i vf v2i Solve for final velocity, given initial velocities:

  6. PHY221 Ch11: Conservation of Momentum Discuss Cars collision: 2 cars travelling, one East the other west, collide (not necessarily inelastic): After collision, does conservation of momentum imply cars must stay on Eat-West axis?

  7. PHY221 Ch11: Conservation of Momentum Discuss Work out Ballistic pendulum: bullet travelling horizontally embeds itself in a block of wood of mass M attached to an arm of length l which is measured to swing out to a max angle q from vertical. Find initial velocity of bullet.

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