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Scalars and vectors Scalars and vectors

Scalars and vectors - PowerPoint Presentation

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Scalars and vectors - PPT Presentation

Which of the following is the odd one out Mass Speed Force Temperature Distance Elephant Which of the following is the odd one out Mass Speed Force Temperature Distance Elephant Scalars ID: 395545

vectors velocity magnitude direction velocity vectors direction magnitude speed force interesting scalars mass adding resultant size bird temperature acceleration

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Slide1

Scalars and vectorsSlide2

Which of the following is the odd one out?

Mass

Speed

Force

Temperature

Distance

ElephantSlide3

Which of the following is the odd one out?

Mass

Speed

Force

Temperature

Distance

ElephantSlide4

Scalars

Scalar

quantities have a

magnitude (size)

only

.

For example:

Temperature, mass, distance,

speed, energy.1 kgSlide5

Vectors

Vector

quantities have a

magnitude (size) and

direction

.

For example:

Force, acceleration, displacement,

velocity, momentum.10 NSlide6

Scalars

and

Vectors

scalars

vectors

Magnitude (size)

No

direction

Magnitude and

direction

temperature

mass

speed

velocity

force

accelerationSlide7

Scalars

and

Vectors

scalars

vectors

Magnitude (size)

No

direction

Magnitude and

direction

temperature

mass

speed

velocity

force

accelerationSlide8

Representing vectors

Vectors can be represented by arrows. The length of the arrow indicates the

magnitude

, and the direction the

direction!Slide9

Adding vectors

When adding vectors (such as force or velocity) , it is important to remember they are vectors and their direction needs to be taken into account.

The result of adding two vectors is called the

resultant

.Slide10

Adding vectors

For example;

6 N

4 N

2 N

4 m/s

4 m/s

5.7 m/s

Resultant

force

Resultant

velocitySlide11

Adding vectors

For example;

6 N

4 N

2 N

Resultant

forceSlide12

An interesting example

Think of a dog

orbiting

the earth with constant speed (in a circle).Slide13

An interesting example

At this point, what is its

velocity

?

velocity?Slide14

An interesting example

velocitySlide15

An interesting example

velocity?

What is its

velocity

here?Slide16

An interesting example

velocity

As you can see the velocity has

changed

as it is now going in another direction.Slide17

An interesting example

velocity

We have

constant speed

but

changing velocity

.

Of course a changing velocity means it must be

accelerating

! We’ll come back to this in year 12!Slide18

Question

Suppose you lay 3 metre rulers on the floor end-to-end to represent 3 vectors of equal magnitude. How could you produce a final vector of

A) the largest magnitude

B) the smallest magnitude

C) a magnitude of the length of 1 ruler Slide19

A) end to end = 3m

B) in a triangle = 0m

C) on top of each other, or 2 end to end with another on topSlide20

Flying in a side wind

A

bird flies at a steady speed of 3 m s–1 through the air. It is pointing in the direction due north. However, there is a wind blowing from west to east at a speed of 2

ms

–1.1. What is the velocity of the bird relative to the ground

?

2. What is the displacement of the bird, relative to its starting point, after it has flown

for20

seconds

? 3. In what direction should the bird point if it is to travel in a northerly direction?