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# CONSERVATION OF MOMENTUM - PowerPoint PPT Presentation

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

• 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.