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CONSERVATION OF MOMENTUM

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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)

- If you rearrange the previous, you obtain
mAvA1 + mBvB1 = m AvA2 + mBvB2

- This is the mathematical expression of the 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!

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

1. Go through the model problem p313.

2. Complete #25 and 26 p 315.

3. Complete the practice problems worksheet.