Momentum
The p = m = mass v = velocity Unit: Vector Direction of momentum is determined by the direction of the
Momentum Newton’s 2 nd Law of Motion in terms of momentum Net External Force = time rate of change of External to the system
Momentum
Impulse I = F= force ∆t = change in time
Impulse - Problems Find the change in momentum 2 kg 5 m/s 3 m/s +- If ∆t = s, find the average force the wall exerts on the ball
Momentum If no external unbalanced forces, so Conservation of momentum for a system w/ no external in forces
Examples 5 kg10 kg Before 5 kg10 kg After
Examples 5 kg10 kg Before 5 kg 10 kg After
Examples 5 kg 10 kg After 5 kg10 kg Before
Examples 5 kg10 kg Before 5 kg10 kg After
Types of Collisions Elastic Collisions – Kinetic energy is KE i = KE f Inelastic collision – Some kinetic energy is lost Typically lost to friction, sound, deformation, etc. Most collisions in “real life”
Types of Collisions How can you determine the type of collision? Yes Elastic No KE i > KE f Inelastic NOTE: As long as, momentum is conserved in every type of collision
Examples m a = 4 kg Before m b = 6 kg After m a = 4 kg m b = 6 kg Is it Elastic or Inelastic?
Skills Needed for Test Calculate the momentum of an object Determine and understand Impulse/ Δ P Understand and apply the conservation of momentum (P Total, i = P Total, f ) to various situations/collisions Determine and verify whether a collision is elastic or inelastic Understand collisions in 1 & 2 dimensions An understanding of previous topics (conservation of energy, motion, etc.)