Chapter 9 Notes

# Chapter 9 Notes - Chapter 9 Notes Momentum o The momentum...

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Chapter 9 Notes - Momentum o The momentum of a particle is defined as p = mv o Moment is a vector! Components p x = mv x p y = mv y p z = mv z o Newton’s 2 nd law can be expressed in term so of momentum = F dpdt o For multiple interaction particles momentum is conserved ( + ) d p1 p2 dt = 0 = + ptot p1 p2 = constant o + = + p1f p2f p1i p2i o Conservation of Momentum II Conservation of moment is also true for each component! p 1 ix + p 2 ix = p 1 fx + p 2 fx p 1 iy + p 2 iy = p 1 fy + p 2 fy p 1 iz + p 2 iz = p 1 fz + p 2 fz - Impulse o The impulse of a force is the time integral of the force = J titfFdt o The time average force can give the impulse = F 1∆ttitfFdt ⇒ = J F∆t o Impulse = change in momentum = dp Fdt = - = ∆p pf pi = = titfdp titfFdt J - Collision in 1-Dimenision o Two types of collisions Elastic Momentum and kinetic energy conserved Inelastic Momentum conserved, kinetic energy isn’t o Lost in internal energies, external energy transfer o Perfectly Inelastic

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Objects stuck together after collision o Inelastic Objects separate, but some kinetic energy is lost - Elastic Collisions o Momentum Conservation and Kinetic Energy Conservation (1-Demension) m 1 v 1 i + m 2 v 2 i = m 1 v 1 f + m 2 v 2 f + = + 12m1v1i2 12m2v2i2 12m1v1f2 12m2v2f2 o Final velocities = - + + + v1f m1 m2m1 m2v1i 2m2m1 m2v2i = + + - + v2f 2m1m1 m2v1i m2 m1m1 m2v2i o Elastic Collision II Special cases m
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Chapter 9 Notes - Chapter 9 Notes Momentum o The momentum...

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