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

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

Physical Modeling – Fall MOMENTUM

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

Physical Modeling – Fall 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

Physical Modeling – Fall How is energy divided?

Physical Modeling – Fall ELASTIC COLLISION IN ONE DIMENSION

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

Physical Modeling – Fall Rocket

10 Rocket

Physical Modeling – Fall Rocket

Physical Modeling – Fall Rocket

Physical Modeling – Fall Rocket

Physical Modeling – Fall Rocket

Physical Modeling – Fall Rocket