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IB Physics SL: Formula Booklet understanding

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A document that decomposes each formula to explain what their use is as well as what each variable corresponds to.

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  • November 9, 2022
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  • 2021/2022
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Formula booklet understanding
Equation Unit Explanation

Uncertainties

If 𝑦 = 𝑎 ± 𝑏 Arbitrary → absolute uncertainty
Then: ∆𝑦 = ∆𝑎 + ∆𝑏

If 𝑦 =
𝑎𝑏 Arbitrary → fractional uncertainty
𝑐
∆𝑦 ∆𝑎 ∆𝑏 ∆𝑐
Then: 𝑦
= 𝑎
+ 𝑏
+ 𝑐


If 𝑦 = 𝑎^𝑛 Arbitrary → fractional uncertainty of which is equal
∆𝑦
Then 𝑦 = ||𝑛
∆𝑎 | to the fractional uncertainty of a^n
𝑎 | n = exponent of a (constant)
y:
a : measured value

Vectors & Scalars

𝐴 = 𝐴𝑠𝑖𝑛θ arbitrary Think of trigonometry → horizontal vector



𝐴 = 𝐴𝑠𝑖𝑛θ arbitrary → vertical vector
𝑣


Motion

𝑣 = 𝑢 + 𝑎𝑡 metres/secon velocity
𝑣² = 𝑢² + 2𝑎𝑠 d

𝑠 = 𝑢𝑡 +
1
𝑎𝑡² metres displacement
2
(𝑣+𝑢)𝑡
𝑠= 2


Forces

𝐹 = 𝑚𝑎 Newtons Force exerted on object which is equal to
the mass times the acceleration of an
object

𝐹 ≤ µ 𝑠𝑅 Newtons Friction is equal or inferior to coefficient of
𝑓
friction times normal force for static object

𝐹 = µ 𝑅 Newtons Friction is equal to coefficient of friction
𝑓 𝑑
times normal force for dynamic object

Work, energy & power

𝑊 = 𝐹𝑠 𝐶𝑜𝑠θ Joules Work equal to the force times the
displacement times the cosine of the angle
of displacement

, 𝐸 =
1
𝑚𝑣² Joules Kinetic energy equal to half the mass of the
𝑘 2
object times the square of its velocity

𝐸 =
1
𝑘∆𝑥² Joules Potential energy equal to half the spring
𝑝 2
constant times the difference of x square

∆𝐸 = 𝑚𝑔∆ℎ Joules Difference in potential energy is equal to
𝑝
the mass times gravity times the difference
in height

𝑝𝑜𝑤𝑒𝑟 = 𝐹𝑣 Watt or Power is equal to the force times velocity
Kg⋅m2⋅s−3

𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦 =
𝑢𝑠𝑒𝑓𝑢𝑙 𝑜𝑢𝑡𝑝𝑢𝑡 %
𝑡𝑜𝑡𝑎𝑙 𝑖𝑛𝑝𝑢𝑡


Momentum & Impulse

𝑝 = 𝑚𝑣 kg•m/s or N/s Momentum which is equal to mass times
velocity

𝐹=
∆𝑝 Newtons Force which is equal to the ratio of
∆𝑡
difference of momentum over the
difference of time

𝐸 =
𝑝² Joules Kinetic energy which is equal to the ratio of
𝑘 2𝑚
the square of momentum over twice the
mass

𝑖𝑚𝑝𝑢𝑙𝑠𝑒 = 𝐹∆𝑡 = ∆𝑝 Newton / Impulse which is equal to Force times the
second difference in time and is also equal to the
difference in momentum



Oscillations

𝑇=
1 seconds The period is equal to 1 over the frequency
𝑓


Travelling waves

𝑐 = 𝑓λ m/s The speed of a wave is equal to its
frequency times its wavelength

Wave characteristics

𝐼∝𝐴² W/m² Intensity is proportional to the square of
the area

𝐼∝𝑥⁻² W/m² Intensity is proportional to the inverse
square of displacment

𝐼 = 𝐼 0𝑐𝑜𝑠(θ)² W/m² Intensity of polarizer is equal to the initial
intensity times the square of cos of the
angle

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