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# 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