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Vectors, scalars and vector addition

Vectors, scalars and vector addition. Year 12 Unit 1 Module 1 Lesson 2. Discuss – in pairs or 3’s . As physicists, when do we and don’t we need to know about direction ?.

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Vectors, scalars and vector addition

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  1. Vectors, scalars and vector addition Year 12 Unit 1 Module 1 Lesson 2

  2. Discuss – in pairs or 3’s. As physicists, when do we and don’t we need to know about direction?

  3. Lesson Objective: To learn the difference between scalars and vectors and be able to categorise physical quantities as one or the other. • 1.1.2 Scalars and vectors • Define scalar and vector quantities and give examples. • Draw and use a vector triangle to determine the resultant of two coplanar vectors such as displacement, velocity and force. • Calculate the resultant of two perpendicular vectors such as displacement, velocity and force. • Resolve a vector such as displacement, velocity and force into two perpendicular components.

  4. Admin stuff • Nick.mason@oasisenfield.org – email me if you need anything. Or come see me – I’m mostly in C5 • www.physics-oasis.com – Timetable, Exam questions, Presentations etc. • Homework will be set at least once a week – probably on Friday this week.

  5. Converting units of area and volume

  6. 1m2 = 10,000cm2 = 104cm2 1 cm2 = 1/104 m2= 10-4m2 1m= 100 cm 10,000cm2 1 m is 100cm, However 1m2 is 10000cm2 – Why? Each side must be converted to centimetres before finding the area. 1m =100 cm

  7. 1m2 = 1 000 000mm2= 106mm2 1mm2 = 1/ 106 m2 = 10-6m2 1m= 1000 mm 1000 000mm2 1m =1000 mm

  8. 1m3 = 1 000 000cm3 = 106cm3 1 cm3 = 1/106 m2= 10-6m2 1m= 100 cm 100 00 00cm3 1m =100 cm 1m= 100 cm

  9. 1m3 = 1 000 000 000mm3= 109mm3 1mm3 = 1/ 109 m3 = 10-9m3 1m= 1000 mm 1000 000 000mm 3 1m =1000 mm 1m =1000 mm

  10. question ? mm 3 1m3 Find the volume of the cuboid in mm3 5m3 1m3

  11. Summary

  12. Prefixes revisited

  13. Just for fun… • How big would all the world’s data be? • http://www.businessinsider.com/infographic-how-big-would-all-the-worlds-data-be-2012-8 • Short answer: about 10 ZettaBytes

  14. Scalars and vectors

  15. Scalar: A quantity that is defined only by a magnitude Vector: A quantity that has both direction and magnitude

  16. Sort the following physical quantities into scalars and vectors: Velocity, Force, Speed, Distance, Displacement, Acceleration, Kinetic Energy, Gravitational Potential Energy, Weight, Potential Difference (Voltage), Time, Electric Current, Electric Charge. • Extension: If you are familiar with them, try adding these quantities: Electric Field, Wavelength, Frequency. • Extension 2: Add any quantities of your own, that I have missed off.

  17. Vector addition • When two or more vectors are added the resulting sum of the vectors is called the RESULTANT vector or simply the RESULTANT. • This could be a resultant velocity, force, acceleration etc. depending on the nature of the original vectors.

  18. Vectors acting in the same line • (i) vectors acting in the same lineTwo or more vectors acting in the same direction may be added as if they were scalars. For example the sum, or resultant of the three forces shown in Fig. 1(a) is 50 N acting right to left while in (b) it is 250 N left to right

  19. But what if they’re not in the same line?

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