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P5b Vectors And Equations Of Motion

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P5b Vectors And Equations Of Motion

1. 1. Vectors & Equations of Motion
2. 2. Revision <ul><li>Speed = </li></ul><ul><li>If forces are balanced… </li></ul><ul><li>If forces are unbalanced … </li></ul>
3. 3. Scalars and Vectors <ul><li>Scalars - Quantities that don’t have a direction, they only have magnitude (size) </li></ul><ul><li>Vectors - Quantities that have magnitude and direction. </li></ul>e.g. Mass, energy, length… e.g. Velocity, force…
4. 4. Vectors and scalars <ul><li>Vector or scalar? </li></ul><ul><li>An official match cricket ball has a mass of 155.9 g </li></ul><ul><li>The train was traveling south at 30 m/s </li></ul><ul><li>The train was traveling at 30 m/s </li></ul><ul><li>The lamp used 100 J of electrical energy </li></ul><ul><li>The crane raised the elephant with a force of 2000 N </li></ul><ul><li>The tug of war teams were pulling in opposite directions with 500 N </li></ul>
5. 5. Resultant force / velocity <ul><li>Two forces / velocities in the same direction… add them together </li></ul>Two forces / velocities in opposite directions… subtract one from the other
6. 6. Resultant force / velocity <ul><li>Example: </li></ul><ul><li>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? </li></ul>
7. 7. Resultant force / velocity <ul><li>Example </li></ul><ul><li>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? </li></ul>
8. 8. Resultant force / velocity <ul><li>Example </li></ul><ul><li>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? </li></ul>
9. 9. Resultant force / velocity Swimmer ~ 5 m/s River ~ 10 m/s
10. 10. Resultant force / velocity V r 2 = V a 2 + V b 2 Tan x = V a V b
11. 11. Equations of Motion <ul><li>1. s = (u +  )t </li></ul><ul><li>2 </li></ul><ul><li>2.  = u + at </li></ul><ul><li>3.  2 = u 2 + 2as </li></ul><ul><li>4. s = ut + 1/2 at 2 </li></ul><ul><li>Where: </li></ul><ul><li>t = Time we are working with </li></ul><ul><li>s = Displacement (distance traveled in time t) </li></ul><ul><li>u = initial velocity at t = 0 </li></ul><ul><li>= final velocity after time t </li></ul><ul><li>a = acceleration </li></ul>
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