Conservation of momentum
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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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Conservation of momentum

CONSERVATION OF MOMENTUM


Law of conservation of momentum

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)


Law of conservation of momentum1

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.


Law of conservation of momentum2

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!


Collisions in one dimension

Collisions in One Dimension

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


Practice problems

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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