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Section 12.3

NEWTON’S THIRD LAW
Newton’s Third Law

 When an object exerts
  a force on a second
  object, the second
  object exerts an equal
  and opposite force on
  the first

 Action/reaction forces
Examples of Action/Reaction
Forces
                Hammer and nail


                Swimming


                Do they always produce
                 motion?

                Do they cancel and
                 produce a net force of 0?
Think About It…

 Are brakes on a
  bicycle or a car
  larger?

 Is it easier to catch a
  bowling ball or a
  tennis ball?

 Without a glove, is it
  easier to catch a
  baseball thrown
  lightly or forcefully?
Momentum

            Product of an object’s
             mass and velocity

            Momentum (p) = m × v


            Can vary based on your
             frame of reference
Calculating Momentum

 What is the momentum
  of a 7-kilogram bowling
  ball that’s heading
  towards the pins at 6
  m/s?

 What are the units for
  momentum?
Calculating Momentum
                 What is the
                  momentum of a
                  200,000-kilogram
                  train traveling into
                  the station at 18 m/s?

                 Is the momentum of
                  a race car (9000 kg)
                  going at 95 m/s
                  higher or lower than
                  the train?
Calculating Momentum

 A man on a bicycle (total
  mass of 85 kg) rides
  down the street at 9 m/s.

 A woman in a truck
  backs slowly out of her
  driveway at 2 m/s. The
  truck’s mass is 950 kg.

 Which has a higher
  momentum?
Momentum is a vector!

                Momentum can be
                 positive or
                 negative, depending
                 on the direction of
                 motion?

                YOU NEED TO DRAW
                 A PICTURE TO
                 EXPLAIN THE
                 DIRECTIONS!
What is the total momentum of
the objects?
 Ptotal = m1v1 + m2v2


 Two kids in two bumper cars
  travel towards one another.
  The first (mass of 80 kg)
  travels at 5 m/s while the
  other (mass of 75 kg) travels
  towards the first at 8 m/s.
What is the total momentum of
the system?
                A pitcher throws a
                 baseball towards the
                 plate at 42 m/s. The
                 baseball has a mass of
                 0.25 kg. The batter
                 swings his bat (which
                 has a mass of 0.90 kg)
                 towards the ball at 25
                 m/s. What is the total
                 momentum?
Rolling Wagon

 A child with a mass of
  42 kg is rolling down a
  hill in a wagon. If the
  speed of the wagon is
  7.5 m/s and the mass of
  the wagon is 30
  kg, what is the total
  momentum of the
  system?
Conservation of Momentum
 What does it mean for something to be “conserved”?

 What happens when two bowling balls hit one another
  at the same speed but traveling in opposite directions?

 If a moving object hits a non-moving one and they stick
  together, will the two objects be moving at a slower
  speed or a faster speed?
Conservation of Momentum

                Momentum of a
                 system is equal before
                 and after a collision
                 (as long as no outside
                 forces, like friction, are
                 acting on the objects of
                 the system)
Conservation of Momentum

 pbefore = pafter

 mbeforevbefore = maftervafter


 You might have to
  calculate the TOTAL
  momentum before/after
  the collision if there are
  more than two objects.
Types of Collisions




 Elastic Collision      Inelastic Collision
Example #1

 In billiards, a cue ball is hit and
   begins rolling across the table at 3.5
   m/s. It then strikes another ball.
   The cue ball stops dead. If the balls
   are of equal weight/mass, how fast
   does the other ball travel after the
   collision?
Example #2

 A man pushes a 2 kg model train
  car along a track so that it reaches
  a velocity of 9 m/s. It then collides
  with a second 2 kg train car (not
  moving) and the two cars stick
  together and continue down the
  track. At what speed are the
  linked-together cars traveling
  now?
Example #3

 A wheeled 300 kg cannon sits at
  rest with a 20 kg cannonball
  inside of it. When fired, the
  cannonball shoots east at 70
  m/s. Which direction will the
  cannon travel in and at what
  velocity?

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Physical Science - 3rd Law and Momentum

  • 2. Newton’s Third Law  When an object exerts a force on a second object, the second object exerts an equal and opposite force on the first  Action/reaction forces
  • 3. Examples of Action/Reaction Forces  Hammer and nail  Swimming  Do they always produce motion?  Do they cancel and produce a net force of 0?
  • 4. Think About It…  Are brakes on a bicycle or a car larger?  Is it easier to catch a bowling ball or a tennis ball?  Without a glove, is it easier to catch a baseball thrown lightly or forcefully?
  • 5. Momentum  Product of an object’s mass and velocity  Momentum (p) = m × v  Can vary based on your frame of reference
  • 6. Calculating Momentum  What is the momentum of a 7-kilogram bowling ball that’s heading towards the pins at 6 m/s?  What are the units for momentum?
  • 7. Calculating Momentum  What is the momentum of a 200,000-kilogram train traveling into the station at 18 m/s?  Is the momentum of a race car (9000 kg) going at 95 m/s higher or lower than the train?
  • 8. Calculating Momentum  A man on a bicycle (total mass of 85 kg) rides down the street at 9 m/s.  A woman in a truck backs slowly out of her driveway at 2 m/s. The truck’s mass is 950 kg.  Which has a higher momentum?
  • 9. Momentum is a vector!  Momentum can be positive or negative, depending on the direction of motion?  YOU NEED TO DRAW A PICTURE TO EXPLAIN THE DIRECTIONS!
  • 10. What is the total momentum of the objects?  Ptotal = m1v1 + m2v2  Two kids in two bumper cars travel towards one another. The first (mass of 80 kg) travels at 5 m/s while the other (mass of 75 kg) travels towards the first at 8 m/s.
  • 11. What is the total momentum of the system?  A pitcher throws a baseball towards the plate at 42 m/s. The baseball has a mass of 0.25 kg. The batter swings his bat (which has a mass of 0.90 kg) towards the ball at 25 m/s. What is the total momentum?
  • 12. Rolling Wagon  A child with a mass of 42 kg is rolling down a hill in a wagon. If the speed of the wagon is 7.5 m/s and the mass of the wagon is 30 kg, what is the total momentum of the system?
  • 13. Conservation of Momentum  What does it mean for something to be “conserved”?  What happens when two bowling balls hit one another at the same speed but traveling in opposite directions?  If a moving object hits a non-moving one and they stick together, will the two objects be moving at a slower speed or a faster speed?
  • 14. Conservation of Momentum  Momentum of a system is equal before and after a collision (as long as no outside forces, like friction, are acting on the objects of the system)
  • 15. Conservation of Momentum  pbefore = pafter  mbeforevbefore = maftervafter  You might have to calculate the TOTAL momentum before/after the collision if there are more than two objects.
  • 16. Types of Collisions  Elastic Collision  Inelastic Collision
  • 17. Example #1  In billiards, a cue ball is hit and begins rolling across the table at 3.5 m/s. It then strikes another ball. The cue ball stops dead. If the balls are of equal weight/mass, how fast does the other ball travel after the collision?
  • 18. Example #2  A man pushes a 2 kg model train car along a track so that it reaches a velocity of 9 m/s. It then collides with a second 2 kg train car (not moving) and the two cars stick together and continue down the track. At what speed are the linked-together cars traveling now?
  • 19. Example #3  A wheeled 300 kg cannon sits at rest with a 20 kg cannonball inside of it. When fired, the cannonball shoots east at 70 m/s. Which direction will the cannon travel in and at what velocity?