Chapter 7~ Matter And Materials Flashcards

All key definitions and formulaes (~number represents to the power of that number)

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1
Q

What is the definition of density?

A

°Mass per unit volume of a substance

>property of matter
>is constant
>measure of how concentrated the matter is in a particular material
>symbol 'p' - rho
>unit kgm-3 or gcm-3
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2
Q

Formula for density

A

p=m/v

Density =mass /volume

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3
Q

1000kgm-3=

A

1gcm-3

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4
Q

Density of water 💦?

A

1000kgm-3

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5
Q

Pressure is defined as….. ?

A

°As the normal force acting per unit cross- sectional area

> a fluid exerts pressure on walls of its container, or on any surface with which it is in contact
unit : Pa

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6
Q

What produces a high pressure?

A

A big force on a small area

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7
Q

Formula for pressure

A

P=F/A

Pressure =force /area

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8
Q

1 Nm-2=

A

1 Pa

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9
Q

What is a fluid?

A

Liquid or gas

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10
Q

proportional means….

A

° 2 variables that also have a constant ratio between them

If one increases the other will as well…. Also if one decreases so does the other

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11
Q

Atmospheric pressure is due to..?

A

Is the weight of the atmosphere above us, pressing downwards. Pulled by gravity

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12
Q

Pressure in a liquid depends on 3 things

A
  1. Depth (h) below surface
  2. Density (p) of FLUID
  3. The acceleration due to gravity, g
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13
Q

Pressure is proportionate to… :

A

density (p), gravity (g) and depth(h)

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14
Q

Formula for pressure

A

P = pgh

Pressure = density Xacceleration due to acceleration X depth

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15
Q

How to derive p=pgh

🏝️ water in a tank

A
  1. Volume of water = Area X height

V= A X h

  1. Mass of water (m = p X V) = p X A X h
  2. Weight if water (Mg) = p X A X h X g
  3. Pressure = force ÷ area

P= p X A X H x g/A

  1. P = pgh
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16
Q

The 2 forces concerned with changing the shape of a spring…

A
  1. Tensile

2. compressive

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17
Q

Compressive meaning?

A

Describes a force that squeezes an object

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18
Q

Definition of tensile?

A

Associated with tension or a pulling force

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19
Q

Definition of extension

A

The change in length of a material from its original length

20
Q

Hooke’s law :

A

A material obeys Hooke’s law if the extension produced in it is proportional to the applied force (load)

21
Q

Definition of force constant

A

The ratio of force to extention for a spring/wire.

Unit : Nm-1

22
Q

Elastic limit definition

A

The value of stress beyond which an object will not return to its original dimensions.

And from that point on plastic deformation takes place

23
Q

Hooke’s law states that

A

The force applied is proportional to the extention of a material provided Hooke’s limit is not exceeded

24
Q

F=

2 equations

A
  1. ma

2. kx

25
Q

Force constant of spring (k) ‘s unit:

A

Nm-1

26
Q

Definition of elastic limit

A

The force beyond which the spring becomes permanently deformed.

27
Q

Definition of strain:

A

It is defined as the extention per unit length produced by tensile or compressive forces

28
Q

Formula for strain

A

Strain =extension (x) /original length (l)

29
Q

Stress is defined as…

A

The force acting per unit cross-sectional area

30
Q

Formula for stress..

A

Stress =force (F) /cross sectional area (A)

31
Q

Formula for stress..

A

Stress =force (F) /cross sectional area (A)

32
Q

The 2 units of stress are :

A
  1. Nm-2
  2. Pa

Nm-2 = Pa

33
Q

Young modulus is defined as

A

°the ratio of stress to strain for a given material, resulting from tensile forces, provided Hooke’s law is obeyed

34
Q

Units for young modulus

A

Pa

35
Q

Formula for young modulus

A

=stress /strain

Remember : stress =F/A

                   Strain = x/l
36
Q

Young modulus also indicates

A

The degree of stiffness of a material. The more young modulus, the stiffer it is

37
Q

Stress (y axis) - strain (x axis) graph

Characteristic :

A
  1. Gradient is = to young modulus

Can on use values before or by the elastic limit to get answers…. No values after the elastic limit may be used

38
Q

Definition of elastic potential energy or strain energy :

A

°energy stored in a stretched or compressed material

> the material warms up slightly once stretched or compressed
= work done

39
Q

Force - extention graph characteristics

A
  1. Gradient is = k

2. Area under the graph is = work done

40
Q

Work done =

A
  1. Force x distance
  2. The area under a F-X graph, therefore
       W or E =1/2 k x~2 0.5 times k times x squared
41
Q

Elastic energy on a F-X graph =

A

E=1/2 F X

Or

E= 1/2. K. X~2
0.5 TIMES K TIME X SQUARED

42
Q

Young modulus =

A

E= STRESS/STRAIN

OR
E= FL/AX

UNIT : Pa

43
Q

Stress - strain graph

The gradient is =

A

Young modulus

44
Q

3 types of F-X graphs to represent materials are :

A

Look at notes to get structure of graphs

  1. Polymaterial material graph e.g. Rubber, plastic ( hysterisis loop, due to loading and unloading)
  2. Brittle material e.g. Glass
    (constant gradient… Therefore constant k)

3.ductile materials e.g. Wire (constant gradient until Hooke’s limit of proportionality)

45
Q

Work done from a F- X graph

A

E= 1/2KX~2 - 1/2KX~2

UNIT: J

46
Q

3 ways to work out the work done by a spring

A
  1. W=(1/2) k x^2
  2. W= (1/2)Fx
  3. Area under a F - x graph
47
Q

What is elastic potential energy?

A

It is the energy stored in a material that is being deformed.

Or

It is the energy stored in a material due to its tension or compression.