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The Astronomy Picture of the Day
Force, Acceleration, &
     Interaction
Outline


•   Acceleration
•   Newton’s Second Law of Motion
•   Action & Reaction: Newton’s Third Law
    of Motion
Acceleration

• The acceleration of an object is
  defined as its change in velocity
  divided by the time taken to change
  it. Mathematically:
                     Change in velocity
   Acceleration =     Change in time

  or using symbols

                a=   ∆v
                     ∆t
Views of a car in uniform motion & accelerating
Newton’s Second Law of Motion
          (Two equivalent statements)

I. The force (F) acting on an object
   equals the product of its acceleration
   (a) & its mass (m). Mathematically
                   F = m×a
II. The amount of acceleration (a) that a
    body will experience is equal to the
    force (F) applied divided by the
    body’s mass (m):
                   a = F/m
A loaded cart will not accelerate as easily
            as an empty cart
Newton’s Third Law of Motion
   (law of action-reaction)




• When two bodies interact, they create
  equal & opposite forces on each other.
Newton’s third law of motion: (A) When X pushes on Y, an equal push is
  given to X by Y. (B) When X pushes on a much heavier person Z, an
equal & opposite push is given to each, but Z moves off at a smaller speed
A hammer thrower feels an equal & opposite force matching the
        centripetal force on the swinging hammer
Questions for in-class discussion

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Unit 15 - Force, Acceleration, & Interaction

  • 3. Outline • Acceleration • Newton’s Second Law of Motion • Action & Reaction: Newton’s Third Law of Motion
  • 4. Acceleration • The acceleration of an object is defined as its change in velocity divided by the time taken to change it. Mathematically: Change in velocity Acceleration = Change in time or using symbols a= ∆v ∆t
  • 5. Views of a car in uniform motion & accelerating
  • 6. Newton’s Second Law of Motion (Two equivalent statements) I. The force (F) acting on an object equals the product of its acceleration (a) & its mass (m). Mathematically F = m×a II. The amount of acceleration (a) that a body will experience is equal to the force (F) applied divided by the body’s mass (m): a = F/m
  • 7. A loaded cart will not accelerate as easily as an empty cart
  • 8. Newton’s Third Law of Motion (law of action-reaction) • When two bodies interact, they create equal & opposite forces on each other.
  • 9. Newton’s third law of motion: (A) When X pushes on Y, an equal push is given to X by Y. (B) When X pushes on a much heavier person Z, an equal & opposite push is given to each, but Z moves off at a smaller speed
  • 10. A hammer thrower feels an equal & opposite force matching the centripetal force on the swinging hammer

Editor's Notes