P5b Vectors And Equations Of Motion

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  • 1. Vectors & Equations of Motion
  • 2. Revision
    • Speed =
    • If forces are balanced…
    • If forces are unbalanced …
  • 3. Scalars and Vectors
    • Scalars - Quantities that don’t have a direction, they only have magnitude (size)
    • Vectors - Quantities that have magnitude and direction.
    e.g. Mass, energy, length… e.g. Velocity, force…
  • 4. Vectors and scalars
    • Vector or scalar?
    • An official match cricket ball has a mass of 155.9 g
    • The train was traveling south at 30 m/s
    • The train was traveling at 30 m/s
    • The lamp used 100 J of electrical energy
    • The crane raised the elephant with a force of 2000 N
    • The tug of war teams were pulling in opposite directions with 500 N
  • 5. Resultant force / velocity
    • Two forces / velocities in the same direction… add them together
    Two forces / velocities in opposite directions… subtract one from the other
  • 6. Resultant force / velocity
    • Example:
    • In a game of elephant tug-of-war, one elephant pulls with a force of 1000 N and the other pulls in the opposite direction with 800 N . What is the resultant force?
  • 7. Resultant force / velocity
    • Example
    • A lorry is pulling a trailer with a force of 2000 N . The friction force from the wheels of the trailer is 500 N for each of the 4 wheels . Is the lorry speeding up, slowing down or traveling at constant speed?
  • 8. Resultant force / velocity
    • Example
    • The driver of the lorry now applies the brakes and the friction force from each wheel is increased to 600 N . What is the resultant force? What happens to the lorries speed?
  • 9. Resultant force / velocity Swimmer ~ 5 m/s River ~ 10 m/s
  • 10. Resultant force / velocity V r 2 = V a 2 + V b 2 Tan x = V a V b
  • 11. Equations of Motion
    • 1. s = (u +  )t
    • 2
    • 2.  = u + at
    • 3.  2 = u 2 + 2as
    • 4. s = ut + 1/2 at 2
    • Where:
    • t = Time we are working with
    • s = Displacement (distance traveled in time t)
    • u = initial velocity at t = 0
    • = final velocity after time t
    • a = acceleration