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Vectors and scalars

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**Demonstrate an understanding of the difference between scalars and vectors and give common examples**

Add vectors by graphical representation to determine a resultant Determine graphically the resultant of two vectors

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**For your notes Define vector and scalar quantities**

Give examples of each Add and subtract vectors

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**Scalar quantities only have magnitude (size) **

Scalars Scalar quantities only have magnitude (size) e.g. temperature, speed, distance, energy, mass.

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**Vectors are quantities with magnitude and direction.**

In pairs develop a list of vector and scalar quantities Which values can be negative? What about temp?

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**Drawing vectors Well duh Use arrows**

Length of arrow represents magnitude of vector Direction represents direction of vector Well duh

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**An illustrative example**

Speed vs velocity Consider a car travelling in a circle at a constant speed of 2ms-1 Comment in as much detail as possible on The speed The velocity The acceleration

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Speed vs Velocity

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**Firing a bullet from a Plane**

A plane flys at 610 ms-1 it shoots a bullet at 600ms-1. Does it shoot itself down? What is the velocity of the bullet?

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**Adding vectors Draw a diagram like this in your books.**

E.g. Scale: 1 cm = 2 cm s-1 the magnitude of P can be calculated using Pythagoras’ theorem: P2 = vh2 + vv2 P Vh Vv

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**Parallelogram of vectors**

Draw both vectors from the same point Complete the parallelogram The diagonal is the resultant Measure the length (magnitude )and angle

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Also You can use a parallelogram drawn to scale to find the components of a force. The most useful components are perpendicular

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Notes P46-7 Answer all questions.

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**Summary questions Define a vector and a scalar**

Give 5 examples of scalar quantities Give 5 examples of vector quantities Draw a scale diagram to add a force of 3N at 30º to the horizontal to a force of 5N at 80º to the horizontal Resolve an acceleration of 2ms-2 at an angle of 25º from North into two perpendicular vectors.

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**Can you? Define vector and scalar quantities Give examples of each**

Add and subtract vectors

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