1. Physical Modeling – Fall 20061 MOMENTUM For a particle, momentum is: p = mv and

2. Physical Modeling – Fall 20062 MOMENTUM For a system of particles, momentum is: P = p 1 + p 2 + p 3 ··· P =  mv n P = Mv cm

3. Physical Modeling – Fall 20063 MOMENTUM

4. 4 Conservation of Momentum If  F ext = 0, then P = constant

5. Physical Modeling – Fall 20065 EXAMPLE: F Ext = 0, F Int  0 Two masses, initially at rest. P Before = P After 0 = m 1 v 1 + m 2 v 2 m 1 v 1 = – m 2 v 2 If, m 1 = m 2 v 1 = – v 2

6. Physical Modeling – Fall 20066 How is energy divided?

7. Physical Modeling – Fall 20067 ELASTIC COLLISION IN ONE DIMENSION

8. Physical Modeling – Fall 20068 ELASTIC COLLISION IN ONE DIMENSION (continued)

9. Physical Modeling – Fall 20069 Rocket

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