Concept Map Chap. 1-4

Concept Map Chap. 1-4

1. Chapter 1

   • Scientific Notation
     • Shorthand to show very large or very small numbers
   • Significant Figures
     • 4 rules for Significant figures
   • Dimension Analysis
     • Length = L
       • Time = T
         • Mass = M
     • Formulas need to be balanced properly
   • Vectors
     • Lines and arrows that show the magnitude and direction of an object
     • Can be added together
       • Use tip-to-tail method

2. Chapter 2

   • Newton's Laws of Motion
     • Third Law
       • For every action there is an equal and opposite reaction.
     • Second Law
       • F=ma
         • a = F/m
     • First Law
       • An object at rest will remain at rest while an object in motion tends to stay in motion
   • Motion
     • Instantaneous Acceleration
     • Position, Velocity, and Acceleration
       • The position ( r ) of an object describes its location relative to some origin or other reference point.
         • Δr = r (final) - r (initial)
       • Velocity is a vector that measures how fast and what direction an object is moving
         • Velocity is found from change in distance divided by the change in time
       • Acceleration is found from change in velocity divided by change in time.
     • Instantaneous Velocity

3. Chapter 3

   • Constant Acceleration and Velocity
     • Δv = v (final) - v (initial)
     • a = Δv / Δt
     • vf = vi+ aΔt (finding final velocity)
     • ∆x = v (initial) ∆t + 1/2a ∆t^2 (finding distance traveled)
   • Normal Force
     • Always perpendicular to the place of contact
   • Free Body Diagrams
     • Diagram that shows magnitude and direction of forces acting on an object
       • All forces come from interactions
   • Forces
     • ∑Fy = N + (-mg)
     • Friction
       • Kinetic. Analyzing motion in the presence of friction
       • Static Friction. Force acting on object
         • F = u * N
   • Free Fall
     • Motion of a dropped object
   • Tension forces
     • Using pulleys to redirect a force
       • cables / ropes/ pulleys
   • mg = mass times gravity

4. Chapter 4

   • Statics and Equilibrium
     • If an object is at equilibrium the net force acting on the object is 0
       • Sum of Fx = F1 + F2+ F3 + K ... = 0
       • Sum of Fy = F1 + F2 + F3 ... = 0
       • Deals with problems where both the velocity and acceleration are 0
         • Objects said to be in "transitional equilibrium"
     • Friction
       • Involved surfaces are not slipping (moving) with each other
   • Projectile Motion
     • Acceleration in both x and y directions are constant
       • a (x) = 0
       • a (y) = - g
     • To find trajectory you need both x and y components of the motion taken by the object
   • Newton's 2nd Law
     • Forces : Gravity, Normal Force, Push Force, and Static Friction
       • Free Body Diagram
     • Total force equal to the quotient of Normal force and Mass
       • Weight is directed downward and Normal Force is directed upwards