1. Momentum the quantity of motion § 8.1–8.2

2. What’s the point? Nature keeps careful account of momentum.

3. Think Question Which process will require more time? A.Pulling as hard as you can to accelerate a little red wagon from rest to a speed of 1 m/s. B.Pulling as hard as you can to accelerate a horse trailer from rest to a speed of 1 m/s. C.The two take the same amount of time.

4. Think Question Which process will require more force? A.Accelerating a little red wagon from rest to a speed of 1 m/s in ten seconds B.Accelerating a horse trailer from rest to a speed of 1 m/s in ten seconds. C.The two take the same force.

5. Impulse where  t is duration F Is net force Impulse is a vector. Impulse = F  t Effect of a force over time

6. Think Question Two objects of different masses move at the same velocity. Which one is harder to stop? A.The light object. B.The massive object.

7. Think Question Two objects with the same mass move different speeds. Which one is harder to stop? A.The fast object. B.The slow object.

8. Momentum Formula momentum is a vector. p = mv

9. Whiteboard Work Prove that when a net force F is applied to an object of mass m for a time  t, its change in momentum is  p = F  t

10. Impulse–Momentum Theorem Impulse = F  t. F  t= m  v= ma  t So F  t =  (mv) = change in momentum

11. Newton’s second law As Newton had it: dt dp F =

12. Poll Question Which changes its momentum the most? A.A moving object that stops when it hits a barrier. B.A moving object that bounces back from a barrier. Momentum is a vector. Which receives the greater impulse? Hints:

13. Rebound and Momentum initial pfinal p final p – initial p initial p final p = 0 final p – initial p pp pp

14. Poll Question Which changes its kinetic energy the most? A.A moving object that stops when it hits a barrier. B.A moving object that bounces back from a barrier. Hints:Kinetic energy is a scalar. Which has the greater net work done?

15. Conservation of Momentum Here today, somewhere tomorrow § 8.2

16. Poll Question If a 0.25-g insect collides with a 1250-kg compact car, which experiences the greatest impulse in the collision? A.The insect. B.The car. C.It’s a tie. D.Insufficient information to answer. Hint: Remember Newton’s third law.

17. Poll Question If a 0.25-g insect collides with a 1250-kg compact car, which experiences the greatest momentum change in the collision? A.The insect. B.The car. C.It’s a tie. D.Insufficient information to answer. Hint: Remember the impulse-momentum theorem.

18. Conservation of Momentum Newton’s first law: –no outside force –no change in v –thus no change in p So an isolated object’s momentum never changes.

19. Conservation of Momentum Newton’s third law: –interacting objects apply equal and opposite impulses to each other –they experience equal and opposite momentum changes So the sum of their momenta remains the same. ∑p i = ∑p f

20. Conservation of Momentum The total momentum of an isolated system never changes.