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SPH3U Formula Sheet
Kinematics
Forces
𝐹⃗𝑁𝑒𝑑 = π‘šπ‘Žβƒ—
𝐹⃗ g = π‘šπ‘”βƒ—
𝐹⃗
πœ‡π‘† = ⃗𝑆
𝐹𝑁
𝐹⃗
πœ‡πΎ = ⃗𝐾
𝐹𝑁
Energy
βƒ—βƒ—
βƒ—βƒ—βˆ†d
W=F
π‘Šπ‘›π‘’π‘‘ =
π‘šπ‘£22
π‘šπ‘£12
−
2
2
βˆ†πΈ
𝑃 = βˆ†π‘‘
πΈπ‘˜ =
π‘Šπ‘›π‘’π‘‘ = βˆ†πΈπ‘˜
πΈπ‘š = 𝐸𝑝 + 𝐸𝐾
efficiency = Eout × 100%
π‘Šπ‘›π‘’π‘‘
βˆ†π‘‘
TK = TC + 273
π‘ž = π‘šπ‘βˆ†π‘‡
𝑃=
qreleased + qabsorbed = 0
1
𝑑⁄
β„Ž
𝐴 = π΄π‘œ (2)
π‘šπ‘£ 2
2
π‘Š = 𝐹⃗ π‘π‘œπ‘ πœƒβˆ†π‘‘βƒ—
𝐸 = π‘šπ‘ 2
q = mLx
𝐸𝑝 = π‘šπ‘”β„Ž
E
in
Waves & Sound
1
πœ†(π‘š)
𝑓=𝑇
𝑣 = 𝑇(𝑠)
π‘š
π‘š
𝑣 = π‘“πœ†
π‘š
π‘Žπ‘–π‘Ÿ 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘œπ‘π‘—π‘’π‘π‘‘
𝑣 = 331.4 𝑠 + (0.606 𝑠 / °πΆ)𝑇
nλ
+𝑣
π‘“π‘œπ‘π‘  = ( π‘£π‘ π‘œπ‘’π‘›π‘‘ +π‘£π‘‘π‘’π‘‘π‘’π‘π‘‘π‘œπ‘Ÿ ) 𝑓0
π‘ π‘œπ‘’π‘›π‘‘
𝐹
𝑀 = π‘™π‘œπ‘π‘Žπ‘™ 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘ π‘œπ‘’π‘›π‘‘
Ln = 2 for n = 1, 2, 3 … fixed or free ends
𝑣
𝐹
𝑣 = √ πœ‡π‘‡
πœ‡= 𝐿
Ln =
(2n−1)
4
𝑝=𝐴
λ for n = 1, 2, 3 … a fixed and a free end
𝑓1 𝐿1 = 𝑓2 𝐿2
π‘ π‘œπ‘’π‘Ÿπ‘π‘’
Electricity & Magnetism
P=
βˆ†E
βˆ†t
V=
ΔE
Q
Iseries = I1 = I2 = β‹―
I=
Vseries = V1 + V2 + β‹―
V
Iparallel = 𝐼1 + I2 = β‹―
R= I
𝑉𝑝
𝐼𝑠
=
𝐼𝑝
𝑉𝑠
1
1
𝑉𝑝
1
2
𝑠
π‘…π‘π‘Žπ‘Ÿπ‘Žπ‘™π‘™π‘’π‘™ = 𝑅 + 𝑅 + β‹―
Q
Δt
𝑁
= 𝑁𝑝
𝑉
𝑠
𝑁𝑝
𝐼𝑠
=
𝐼𝑝
𝑁𝑠
Vparallel = V1 = V2 = β‹―
R series = 𝑅1 + R 2 = β‹―
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