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University Physics Cheat Sheet with Kinematics Equations, Cheat Sheet of Physics

San Jacinto Community College Physics

University Physics 1 - Formula Sheet

Typology: Cheat Sheet

2020/2021

Uploaded on 04/26/2021

anuradha 🇺🇸

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One Dimensional Kinematics

Newton’s Laws of Motion

Applications of Newton’s Laws

Work and Kinetic Energy

∆𝑥 ≡ 𝑥𝑓 – 𝑥𝑖

Avg speed ≡ 𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑟𝑎𝑣𝑒𝑙𝑒𝑑

𝑡𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒

𝑉𝑎𝑣𝑔 ≡ ∆𝑥

∆𝑡 = 𝑥𝑓−𝑥𝑖

𝑡𝑓−𝑡𝑖

𝑣 ≡ lim

∆𝑡→0𝑣𝑎𝑣𝑔 = lim

∆𝑡→0∆𝑥

∆𝑡

𝑎𝑎𝑣𝑔 ≡∆𝑣

∆𝑡 =𝑣𝑓−𝑣𝑖

𝑡𝑓−𝑡𝑖

𝑎 ≡ lim

∆𝑡→0𝑎𝑎𝑣 = lim

∆𝑡→0∆𝑣

∆𝑡

Constant linear acceleration

𝑣 = 𝑣𝑜+𝑎𝑡

𝑥 = 𝑥𝑜+ 1

2 (𝑣𝑜+𝑣)𝑡

𝑥 = 𝑥𝑜+𝑣𝑜𝑡+1

2𝑎𝑡2

𝑣2=𝑣0

2+2𝑎(𝑥− 𝑥0)

∑𝐹 = 𝑚𝑎 𝑊 =𝑚𝑔

𝑓𝑠 ≤ 𝜇𝑠𝑁

𝑓𝑘 = 𝜇𝑘𝑁|𝐹|=𝑘𝑥

𝑎𝑐=𝑣2

𝑟

𝑊 ≡ 𝐹𝑑cos𝜃

𝐾 ≡ 1

2𝑚𝑣2

𝑊𝑛𝑒𝑡 = ∆𝐾

𝑊 = 1

2𝑘𝑥2

𝑃 = 𝑊

𝑡=𝐹𝑣

𝑊𝑐= −∆𝑈

𝑈𝑔𝑟𝑎𝑣 ≡ 𝑚𝑔𝑦

𝐸 ≡ 𝐾+𝑈

𝑈𝑠𝑝𝑟𝑖𝑛𝑔 ≡1

2𝑘𝑥2

𝑊𝑛𝑐 = ∆𝐸

Potential Energy and Conservation of Energy

University Physics 1 - Formula Sheet

Partial preview of the text

Download University Physics Cheat Sheet with Kinematics Equations and more Cheat Sheet Physics in PDF only on Docsity!

One Dimensional Kinematics

Newton’s Laws of Motion

Applications of Newton’s Laws

Work and Kinetic Energy

 Avg speed ≡ 𝑡𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑟𝑎𝑣𝑒𝑙𝑒𝑑 𝑡𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒  𝑉𝑎𝑣𝑔 ≡ ∆𝑥 ∆𝑡

𝑥𝑓−𝑥𝑖 𝑡𝑓−𝑡𝑖  𝑣 ≡ lim ∆𝑡→ 𝑣𝑎𝑣𝑔 = lim ∆𝑡→ ∆𝑥 ∆𝑡  𝑎𝑎𝑣𝑔 ≡ ∆𝑣 ∆𝑡 =^ 𝑣𝑓−𝑣𝑖 𝑡𝑓−𝑡𝑖  𝑎 ≡ lim ∆𝑡→ 𝑎𝑎𝑣 = lim ∆𝑡→ ∆𝑣 ∆𝑡  Constant linear acceleration  𝑣 = 𝑣𝑜 + 𝑎𝑡  𝑥 = 𝑥𝑜 +^ 1 2

1 2

2  𝑣 2 = 𝑣 0 2

2𝑎(𝑥 − 𝑥 0 )  ∑ 𝐹 = 𝑚𝑎  𝑊 = 𝑚𝑔  𝑓𝑠 ≤ 𝜇𝑠𝑁  𝑓𝑘 = 𝜇𝑘𝑁

𝑣^2 𝑟  𝑊 ≡ 𝐹𝑑 cos 𝜃  𝐾 ≡ 1 2

2  𝑊𝑛𝑒𝑡 = ∆𝐾

1 2

𝑘𝑥^2

𝑊 𝑡

1 2

𝑘𝑥^2

Potential Energy and Conservation of Energy

University Physics 1 - Formula Sheet

Linear Momentum and Collisions

Rotational Kinematics and Energy

 ∑ 𝐹 = lim ∆𝑡→ ∆𝑝⃗ ∆𝑡  ∑ 𝐹⃗𝑎𝑣𝑔 = ∆𝑝⃗ ∆𝑡  𝐼⃗= ∑ 𝐹⃗𝑎𝑣𝑔 ∆𝑡  𝐼⃗ = ∆𝑝⃗  𝜃 ≡ 𝑠 𝑟  ∆𝜃 ≡ 𝜃𝑓 − 𝜃𝑖  𝜔𝑎𝑣𝑔 ≡ ∆𝜃 ∆𝑡

𝜃𝑓−𝜃𝑖 𝑡𝑓−𝑡𝑖

 𝜔 ≡ lim ∆𝑡→ ∆𝜃 ∆𝑡  𝛼𝑎𝑣𝑔 ∆𝜔 ∆𝑙

𝜔𝑡−𝜔𝑖 𝑙𝑡−𝑙𝑖  𝛼 ≡ lim ∆𝑡→ Δ𝜔 Δ𝑡  𝑇 = 2𝜋 𝜔  𝑣𝑡 = 𝑟𝜔  𝑎𝑡 = 𝑟𝛼  𝑎𝑐𝑝 = 𝑟𝜔^2

∑ 𝑚𝑖𝑥𝑖 ∑ 𝑚𝑖

𝑚 1 𝑥 1 +𝑚 2 𝑥 2 +⋯ 𝑚 1 +𝑚 2 +⋯  𝑌𝑐𝑚 = ∑ 𝑚𝑖𝑦𝑖 ∑ 𝑚𝑖

𝑚 1 𝑣 1 +𝑚 2 𝑣+⋯ 𝑚 1 +𝑚 2 +⋯  Constant angular acceleration  𝜔 = 𝜔𝑜 + 𝛼𝑡  𝜃 = 𝜃𝑜 + 1 2

 θ = 𝜃𝑜 + 𝜔𝑜𝑙 + 1 2

𝛼𝑡^2

 𝜔^2 = 𝜔 02 + 2𝛼(𝜃 − 𝜃𝑎)

 𝐼 ≡ ∑^ 𝑚𝑖𝑟𝑖

2 = 𝑚 1 𝑟 12 + 𝑚 2 𝑟 22 + 𝑁 𝑖= ⋯ 𝑚𝑁𝑟𝑁^2 (N point masses)  𝐾𝑟𝑜𝑡 ≡ 1 2

2  𝐾𝑡𝑜𝑡𝑎𝑙 = 𝐾𝑡𝑟𝑎𝑛𝑠 + 𝐾𝑟𝑜𝑡 = 1 2

2

1 2

𝐼𝑐𝑚𝜔^2

 Radius of Earth: RE=6.37x10^6 m  Radius of Moon: RM=1.74x10^6 m  Mass of Earth: ME=5.97x10^24 kg  Mass of Moon: 7.35x 22 kg  Mass of Sun: 2.00x10^30 kg  Earth-Moon distance: 3.84x10^8 m  Earth-Sun distance: 1.50x10^11 m

University Physics Cheat Sheet with Kinematics Equations, Cheat Sheet of Physics

Related documents

Partial preview of the text

Download University Physics Cheat Sheet with Kinematics Equations and more Cheat Sheet Physics in PDF only on Docsity!

One Dimensional Kinematics

Newton’s Laws of Motion

Applications of Newton’s Laws

Work and Kinetic Energy

𝑘𝑥^2

𝑘𝑥^2

Potential Energy and Conservation of Energy

University Physics 1 - Formula Sheet

Linear Momentum and Collisions

Rotational Kinematics and Energy

𝛼𝑡^2

 𝜔^2 = 𝜔 02 + 2𝛼(𝜃 − 𝜃𝑎)

 𝐼 ≡ ∑^ 𝑚𝑖𝑟𝑖

𝐼𝑐𝑚𝜔^2

Solar System Data