Physics Formula Sheet Name: ______________________ Created by Richard Wright – Andrews Academy To be used with OpenStax High School Physics Constants/
Physics Formula Sheet Name: ______________________
Created by Richard Wright – Andrews Academy To be used with OpenStax High School Physics
Constants/Basic
𝑥 =
−𝑏 ± √𝑏2 − 4𝑎𝑐
2𝑎
sin(𝜃) =
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
cos(𝜃) =
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
tan(𝜃) =
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
𝑅𝑎𝑑𝑖𝑢𝑠 𝑜𝑓 𝐸𝑎𝑟𝑡ℎ = 6.38 × 106 𝑚
𝑀𝑎𝑠𝑠 𝑜𝑓 𝐸𝑎𝑟𝑡ℎ = 5.98 × 1024 𝑘𝑔
𝑔 = 9.80
𝑚
𝑠2
𝐺 = 6.673 × 10−11 𝑁𝑚2
𝑘𝑔2
𝑁𝐴 = 6.02 × 1023
𝑞𝑒
= −1.60 × 10−19 𝐶
𝜖0 = 8.85 × 10−12𝐶2/(𝑁 ⋅ 𝑚2)
𝜇0 = 4𝜋 × 10−7 𝑇𝑚
𝑠
ℎ = 6.63 × 10−34 𝐽 ⋅ 𝑠
1 𝑢 = 931.5
𝑀𝑒𝑉
𝑐2
𝑚𝑒
= 9.11 × 10−31 𝑘𝑔
𝑚𝑝
= 1.6726 × 10−27 𝑘𝑔
𝑚𝑛
= 1.6749 × 10−27 𝑘𝑔
𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝑠𝑜𝑢𝑛𝑑 𝑖𝑛 𝑎𝑖𝑟 𝑎𝑡 20°𝐶
= 343 𝑚/𝑠
𝐷𝑒𝑛𝑠𝑖𝑡𝑦 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟 = 1000 𝑘𝑔
𝑚3
01 Motion
Δ𝑑 = 𝑑𝑓− 𝑑0
𝑣𝑎𝑣𝑒
=
𝑑𝑖𝑠𝑡
Δ𝑡
𝑣𝑎𝑣𝑒
=
Δ𝑑
Δ𝑡
=
𝑑𝑓− 𝑑0
𝑡𝑓− 𝑡0
𝑎 =
𝑣𝑓− 𝑣0
𝑡𝑓− 𝑡0
𝑑 = 𝑣𝑡 + 𝑑0
𝑣 =
𝑣0 + 𝑣
2
𝑣 = 𝑎𝑡 + 𝑣0
𝑑 =
1
2𝑎𝑡2 + 𝑣0𝑡 + 𝑑0
𝑣2 = 𝑣0
2 + 2𝑎(𝑑 − 𝑑0)
𝑟 =
𝑣0
2𝑠𝑖 𝑛 2𝜃
𝑔
02 Forces
𝐹𝑛𝑒𝑡 = 𝑚𝑎
𝑊 = 𝑚𝑔
𝑓𝑠 ≤ 𝜇𝑠𝐹𝑁
𝑓𝑘 = 𝜇𝑘𝐹𝑁
𝐹𝑆 = 𝑘Δ𝑥
03 Uniform Circular Motion
and Torque
Δ𝜃 =
Δ𝑠
𝑟
𝑎𝑐
=
𝑣2
𝑟
= 𝑟𝜔2
𝐹𝐶 =
𝑚𝑣2
𝑟
= 𝑚𝑟𝜔2
𝜏 = 𝐹𝑟 sin𝜃
𝑥 = 𝑟𝜃
𝜔 =
𝛥𝜃
𝛥𝑡
𝑣 = 𝑟𝜔
𝛼 =
𝛥𝜔
𝛥𝑡
𝑎𝑡 = 𝑟𝛼
𝜃 = 𝜔𝑡
𝜔 = 𝜔0 + 𝛼𝑡
𝜃 = 𝜔0𝑡 +
1
2𝛼𝑡2
𝜔2 = 𝜔0
2 + 2𝛼𝜃
𝜏 = 𝐼𝛼
Hoop about cylinder axis: 𝐼 = 𝑀𝑅2
Hoop about any diameter: 𝐼 =
𝑀𝑅2
2
Ring: 𝐼 =
𝑀
2 (𝑅1
2 + 𝑅2
2)
Solid cylinder (or disk) about
cylinder axis: 𝐼 =
𝑀𝑅2
2
Solid cylinder (or disk) about
central diameter: 𝐼 =
𝑀𝑅2
4
+ 𝑀ℓ2
12
Thin rod about axis through center
⊥ to length: 𝐼 =
𝑀ℓ2
12
Thin rod about axis through one end
⊥ to length: 𝐼 =
𝑀ℓ2
3
Solid sphere: 𝐼 =
2𝑀𝑅2
5
Thin spherical shell: 𝐼 =
2𝑀𝑅2
3
Slab about ⊥ axis through center:
𝐼 =
𝑀(𝑎2+𝑏2)
12
04 Momentum
𝐽 = 𝐹Δ𝑡
𝑝 = 𝑚𝑣
𝐹𝛥𝑡 = 𝑚𝑣𝑓− 𝑚𝑣0
𝑝0 = 𝑝𝑓
𝐾𝐸 =
1
2𝑚𝑣2
𝐿 = 𝐼𝜔
𝜏𝑛𝑒𝑡 =
𝛥𝐿
𝛥𝑡
𝐿0 = 𝐿𝑓
05 Kepler’s Laws and Gravity
𝑇1
2
𝑇2
2
=
𝑟1
3
𝑟2
3
𝑎 =
𝑟𝑎 + 𝑟𝑝
2
𝑏 = √𝑟𝑎𝑟𝑏
𝑐 = 𝑟𝑎− 𝑎
𝑒 =
𝑐
𝑎
𝐹𝐺 =
𝐺𝑚𝑀
𝑟2
𝑔 =
𝐺𝑀
𝑟2
𝑣 =
2π𝑟
𝑇
𝑣 = √𝐺𝑀
𝑟
𝑇2
𝑟3
=
4𝜋2
𝐺𝑀
𝑇2 =
4𝜋2
𝐺𝑀 𝑟3
06 Energy
𝑊 = 𝐹𝑑 cos𝜃
𝑃 =
𝑊
𝑡
𝐾𝐸 =
1
2𝑚𝑣2
𝐾𝐸 =
1
2
𝐼𝜔2
𝑃𝐸𝑔
= 𝑚𝑔ℎ
𝑃𝐸𝑠
=
1
2𝑘𝑥2
𝑃𝐸𝑓 + 𝐾𝐸𝑓 = 𝑃𝐸0 + 𝐾𝐸0
𝐸0 + 𝑊𝑛𝑒𝑡 = 𝐸𝑓
𝐼𝑀𝐴 =
𝐹 𝑟
𝐹 𝑒
=
𝑑𝑒
𝑑𝑟
Physics Formula Sheet Name:
__________________
Created by Richard Wright – Andrews Academy To be used with OpenStax High School Physics
Lever: 𝐼𝑀𝐴 =
𝐿𝑒
𝐿𝑟
Wheel and Axle: 𝐼𝑀𝐴 =
𝑅
𝑟
Inclined Plane: 𝐼𝑀𝐴 =
𝐿
ℎ
Wedge: 𝐼𝑀𝐴 =
𝐿
𝑡
Screw: 𝐼𝑀𝐴 =
2𝜋𝐿
𝑃
Pulley: 𝐼𝑀𝐴 = 𝑁
𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦 (𝐸𝑓𝑓) =
𝑊𝑜𝑢𝑡
𝑊𝑖𝑛
× 100%
07 Static Electricity
𝐹 = 𝑘 |𝑞1𝑞2|
𝑟2
𝐸 =
𝐹
𝑞0
=
𝑘𝑞
𝑟2
𝑉 =
Δ𝑃𝐸
𝑞0
=
𝑘𝑞
𝑟
𝐸 =
Δ𝑉
𝑥𝑓− 𝑥0
08 Circuits
𝐼 =
Δ𝑄
Δ𝑡
𝐼 = 𝑞𝑛𝐴𝑣𝑑
𝑉 = 𝐼𝑅
𝑅𝑆 = 𝑅1 + 𝑅2 + 𝑅3 + ⋯
1
𝑅𝑃
=
1
𝑅1
+
1
𝑅2
+
1
𝑅3
+ ⋯
𝑃 = 𝐼𝑉
𝑃 = 𝐼2𝑅
𝑃 =
𝑉2
𝑅
𝑃 𝑎𝑣𝑒
=
1
2
𝐼0𝑉0
𝐼𝑟𝑚𝑠
=
𝐼0
√2
𝑉 𝑟𝑚𝑠
=
𝑉0
√2
09 Magnetism
𝐹
⃑
= 𝑞𝑣𝐵 sin𝜃
𝑟 =
𝑚𝑣
𝑞𝐵
𝐹 = 𝐼𝐿𝐵 sin𝜃
𝜏 = 𝑁𝐼𝐴𝐵 sin𝜙
∑𝐵
⃗
⋅ 𝛥ℓ
⃗
= 𝜇0𝐼
𝐵 =
𝜇0𝐼
2𝜋𝑟
𝐵 = 𝑁 𝜇0𝐼
2𝑅
𝐵 = 𝜇0𝑛𝐼
𝐹
𝑙
=
𝜇0𝐼1𝐼2
2𝜋𝑟
Φ = 𝐵𝐴cos𝜙
𝑒𝑚𝑓 = −𝑁 (Φ − Φ0
𝑡 − 𝑡0 ) = −𝑁
ΔΦ
Δ𝑡
𝐹 = 𝑞𝑣𝐵 sin𝜃
𝑒𝑚𝑓 = 𝑣𝐵𝐿
𝑒𝑚𝑓 = 𝑁𝐵𝐴𝜔 sin𝜔𝑡
𝜔 = 2𝜋𝑓
𝐼𝑃
𝐼𝑆
=
𝑉𝑆
𝑉𝑃
=
𝑁𝑆
𝑁𝑃
10 Waves and Sound
𝑓 =
1
𝑇
𝑣 =
𝜆
𝑇
= 𝑓 ⋅ 𝜆
𝐵𝑒𝑎𝑡𝑠 = |𝑓1− 𝑓2|
𝐼 =
𝑃
𝐴
𝐴𝑠𝑝ℎ𝑒𝑟𝑒
= 4𝜋𝑟2
𝐼 =
(Δ𝑝)2
2𝜌𝑣𝑤
𝛽 = (10 𝑑𝐵)log(𝐼
𝐼0)
𝑓𝑜
= 𝑓𝑠 (𝑣𝑤 ± 𝑣𝑜
𝑣𝑤 ∓ 𝑣𝑠)
𝑓𝑛
= 𝑛 (𝑣𝑤
2𝐿)
𝑓𝑛
= 𝑛 (𝑣𝑤
4𝐿)
11 Electromagnetic Rays
𝑐 = 𝑓𝜆
𝜃𝑟
= 𝜃𝑖
𝑓 =
1
2
𝑅
𝑓 = −
1
2
𝑅
1
𝑓
=
1
𝑑𝑜
+
1
𝑑𝑖
𝑚 =
ℎ𝑖
ℎ𝑜
= −
𝑑𝑖
𝑑𝑜
𝑛 =
𝑐
𝑣
𝜃𝑐 = sin−1 𝑛2
𝑛1
𝑃 =
1
𝑓
12 Dual Nature of Light
sin𝜃 = 𝑚
𝜆
𝑑
sin𝜃 = (𝑚 +
1
2) 𝜆
𝑑
sin𝜃 = 𝑚
𝜆
𝑊
𝜃 = 1.22
𝜆
𝐷
𝐸 = 𝑛ℎ𝑓 = 𝑛
ℎ𝑐
𝜆
𝐾𝐸𝑒 = ℎ𝑓 − 𝐵𝐸
𝑝 =
ℎ
𝜆
=
ℎ𝑓
𝑐
13 Radioactivity, Fission, and
Fusion
𝑋
𝑍
𝐴 → 𝑌
𝑍−2
𝐴−4 + He
2
4
𝑋
𝑍
𝐴 → 𝑌
𝑍+1
𝐴 + 𝑒− + 𝜈
𝑋
𝑍
𝐴 → 𝑋
𝑍
𝐴 + 𝛾
𝑁 = 𝑁0𝑒−𝜆𝑡
𝜆 =
ln(2)
𝑡1
2 ⁄
𝐸 = 𝑚𝑐2