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CONSERVATION OF MOMENTUM

CONSERVATION OF MOMENTUM. Law of Conservation of Momentum. Recall Newton’s 3 rd Law: Every Action has an equal and opposite Reaction: F A = -F B The duration of the collision is the same for both objects: F A ∆t = -F B ∆t

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CONSERVATION OF MOMENTUM

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  1. CONSERVATION OF MOMENTUM

  2. Law of Conservation of Momentum • Recall Newton’s 3rd Law: Every Action has an equal and opposite Reaction: FA = -FB • The duration of the collision is the same for both objects: FA∆t = -FB ∆t • F∆t = ∆p, we can substitute the expression for the change in momentum: mAvA2 –mAvA1 = -(m BvB2-mBvB1)

  3. Law of Conservation of Momentum • If you rearrange the previous, you obtain mAvA1 + mBvB1 = m AvA2 + mBvB2 • This is the mathematical expression of the LAW OF CONSERVATION OF MOMENTUM.

  4. Law of Conservation of Momentum DEFINITION: • The Total Momentum of objects before a collision is the same as the Total Momentum of the same objects after the collision. IN OTHER WORDS: • The change in momentum in an isolated system is zero. • The objects within the system may interact and exchange momenta, but the total momentum does not change!

  5. Collisions in One Dimension • NOTE: Momentum is a vector quantity, so both magnitude and direction of the momentum must be conserved.

  6. PRACTICE PROBLEMS 1. Go through the model problem p313. 2. Complete #25 and 26 p 315. 3. Complete the practice problems worksheet.

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