CIE
AS Level
Physics [9702]
Formulaes and Notes
, 1 Physical Quantities and Units
1.1-2 SI Units
SI Base Units
Base Quantity Base Unit
Length m (metre)
Mass kg (kilogram)
Time s (seconds)
Electric Current A (ampere)
Temperature K (kelvin)
Amount of Substance mol (mole)
Luminous Intensity cd (candela)
Deriving Units
To be able to rearrange units into SI base units, *Always Change Units to SI Base Units e.g. cm à m*
𝐹(𝑁) = 𝑚 (𝑘𝑔) 𝑎 (𝑚𝑠 !" )
Multiples
Multiples Sub-multiples
10# kilo k 10!$ deci d
% !"
10 mega M 10 centi c
10& giga G 10!# milli m
$" !% 𝜇
10 tera T 10 micro
10!& nano n
!$"
10 pico p
1. Use a Formula to Relate Power
2. List the Units
3. Derive it into SI Base Units
𝑃 = 𝐹𝑣
𝑊 = 𝑁 × 𝑚𝑠 !$
𝑊 = 𝑘𝑔 𝑚𝑠 !" × 𝑚𝑠 !$
𝑊 = 𝑘𝑔 𝑚" 𝑠 !#
,1.3 Errors and Uncertainties
Rule:
𝑢𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑖𝑡𝑦 = 𝑝𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 𝑢𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 × 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 𝑣𝑎𝑙𝑢𝑒
%𝑈$ + %𝑈" + ⋯ + %𝑈' = %𝑈()*
If a quantity is to a power, the power will be multiplied.
+.#
e.g. In a question of Area; 𝑅𝑎𝑑𝑖𝑢𝑠 = 3.0 ± 0.3 𝑚; 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 𝑜𝑓 𝐴𝑟𝑒𝑎 = 2 × K#.+L × 100%
Significant Figures
use to minimum sig. figs. Based on the questions. (5.09 à 3 s.f.)
Sig. Figs. For Uncertainty SEPARATE with Value
(e.g. 3.12 ± 0.1 à Sig. Figs for Value: 3 s.f.; Sig. Figs for Uncertainty: 1 s.f.)
𝐹
𝑃=
𝐴
5.09 × 9.81
𝑃=
0.094 "
K 2 L ×𝜋
𝑃 = 7195.172348
𝑃 = 7200 𝑃𝑎
0.01 0.1
% 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = S T × 100% + 2 × S T × 100% = 2.324123229%
5.09 9.4
𝐴𝑏𝑜𝑠𝑢𝑙𝑡𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = 7200 × 2.324123229%
𝐴𝑏𝑜𝑠𝑢𝑙𝑡𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = 167.2236719
𝐴𝑏𝑜𝑠𝑢𝑙𝑡𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = 170 𝑃𝑎
𝑃 = 7200 ± 200 𝑃𝑎
, Systematic Error = Error from Apparatus
Random Error = Error from Humans
1.4 Scalars and Vectors
Scalars Vectors
Only Magnitude Magnitude + Direction
e.g. Speed, Power, Energy e.g. Velocity, Acceleration, Moments
1.4 Scalars and Vectors
Scalars Vectors
Only Magnitude Magnitude + Direction
e.g. Speed, Power, Energy e.g. Velocity, Acceleration, Moments
Vector Diagrams
To solve resultant
Decomposing Forces
Rule of Thumb: Slope = Sine; Corresponding = Cosine
AS Level
Physics [9702]
Formulaes and Notes
, 1 Physical Quantities and Units
1.1-2 SI Units
SI Base Units
Base Quantity Base Unit
Length m (metre)
Mass kg (kilogram)
Time s (seconds)
Electric Current A (ampere)
Temperature K (kelvin)
Amount of Substance mol (mole)
Luminous Intensity cd (candela)
Deriving Units
To be able to rearrange units into SI base units, *Always Change Units to SI Base Units e.g. cm à m*
𝐹(𝑁) = 𝑚 (𝑘𝑔) 𝑎 (𝑚𝑠 !" )
Multiples
Multiples Sub-multiples
10# kilo k 10!$ deci d
% !"
10 mega M 10 centi c
10& giga G 10!# milli m
$" !% 𝜇
10 tera T 10 micro
10!& nano n
!$"
10 pico p
1. Use a Formula to Relate Power
2. List the Units
3. Derive it into SI Base Units
𝑃 = 𝐹𝑣
𝑊 = 𝑁 × 𝑚𝑠 !$
𝑊 = 𝑘𝑔 𝑚𝑠 !" × 𝑚𝑠 !$
𝑊 = 𝑘𝑔 𝑚" 𝑠 !#
,1.3 Errors and Uncertainties
Rule:
𝑢𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑖𝑡𝑦 = 𝑝𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 𝑢𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 × 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 𝑣𝑎𝑙𝑢𝑒
%𝑈$ + %𝑈" + ⋯ + %𝑈' = %𝑈()*
If a quantity is to a power, the power will be multiplied.
+.#
e.g. In a question of Area; 𝑅𝑎𝑑𝑖𝑢𝑠 = 3.0 ± 0.3 𝑚; 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 𝑜𝑓 𝐴𝑟𝑒𝑎 = 2 × K#.+L × 100%
Significant Figures
use to minimum sig. figs. Based on the questions. (5.09 à 3 s.f.)
Sig. Figs. For Uncertainty SEPARATE with Value
(e.g. 3.12 ± 0.1 à Sig. Figs for Value: 3 s.f.; Sig. Figs for Uncertainty: 1 s.f.)
𝐹
𝑃=
𝐴
5.09 × 9.81
𝑃=
0.094 "
K 2 L ×𝜋
𝑃 = 7195.172348
𝑃 = 7200 𝑃𝑎
0.01 0.1
% 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = S T × 100% + 2 × S T × 100% = 2.324123229%
5.09 9.4
𝐴𝑏𝑜𝑠𝑢𝑙𝑡𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = 7200 × 2.324123229%
𝐴𝑏𝑜𝑠𝑢𝑙𝑡𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = 167.2236719
𝐴𝑏𝑜𝑠𝑢𝑙𝑡𝑒 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦 = 170 𝑃𝑎
𝑃 = 7200 ± 200 𝑃𝑎
, Systematic Error = Error from Apparatus
Random Error = Error from Humans
1.4 Scalars and Vectors
Scalars Vectors
Only Magnitude Magnitude + Direction
e.g. Speed, Power, Energy e.g. Velocity, Acceleration, Moments
1.4 Scalars and Vectors
Scalars Vectors
Only Magnitude Magnitude + Direction
e.g. Speed, Power, Energy e.g. Velocity, Acceleration, Moments
Vector Diagrams
To solve resultant
Decomposing Forces
Rule of Thumb: Slope = Sine; Corresponding = Cosine
