Concept Map Chap. 1-4

Chapter 1
1. Scientific Notation
  1. Shorthand to show very large or very small numbers
2. Significant Figures
  1. 4 rules for Significant figures
3. Dimension Analysis
  1. Length = L
    1. Time = T
      1. Mass = M
  2. Formulas need to be balanced properly
4. Vectors
  1. Lines and arrows that show the magnitude and direction of an object
  2. Can be added together
    1. Use tip-to-tail method
Chapter 2
1. Newton's Laws of Motion
  1. Third Law
    1. For every action there is an equal and opposite reaction.
  2. Second Law
    1. F=ma
      1. a = F/m
  3. First Law
    1. An object at rest will remain at rest while an object in motion tends to stay in motion
2. Motion
  1. Instantaneous Acceleration
  2. Position, Velocity, and Acceleration
    1. The position ( r ) of an object describes its location relative to some origin or other reference point.
      1. Δr = r (final) - r (initial)
    2. Velocity is a vector that measures how fast and what direction an object is moving
      1. Velocity is found from change in distance divided by the change in time
    3. Acceleration is found from change in velocity divided by change in time.
  3. Instantaneous Velocity
Chapter 3
1. Constant Acceleration and Velocity
  1. Δv = v (final) - v (initial)
  2. a = Δv / Δt
  3. vf = vi+ aΔt (finding final velocity)
  4. ∆x = v (initial) ∆t + 1/2a ∆t^2 (finding distance traveled)
2. Normal Force
  1. Always perpendicular to the place of contact
3. Free Body Diagrams
  1. Diagram that shows magnitude and direction of forces acting on an object
    1. All forces come from interactions
4. Forces
  1. ∑Fy = N + (-mg)
  2. Friction
    1. Kinetic. Analyzing motion in the presence of friction
    2. Static Friction. Force acting on object
      1. F = u * N
5. Free Fall
  1. Motion of a dropped object
6. Tension forces
  1. Using pulleys to redirect a force
    1. cables / ropes/ pulleys
7. mg = mass times gravity
Chapter 4
1. Statics and Equilibrium
  1. If an object is at equilibrium the net force acting on the object is 0
    1. Sum of Fx = F1 + F2+ F3 + K ... = 0
    2. Sum of Fy = F1 + F2 + F3 ... = 0
    3. Deals with problems where both the velocity and acceleration are 0
      1. Objects said to be in "transitional equilibrium"
  2. Friction
    1. Involved surfaces are not slipping (moving) with each other
2. Projectile Motion
  1. Acceleration in both x and y directions are constant
    1. a (x) = 0
    2. a (y) = - g
  2. To find trajectory you need both x and y components of the motion taken by the object
3. Newton's 2nd Law
  1. Forces : Gravity, Normal Force, Push Force, and Static Friction
    1. Free Body Diagram
  2. Total force equal to the quotient of Normal force and Mass
    1. Weight is directed downward and Normal Force is directed upwards

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Concept Map Chap. 1-4

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