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Basic physicss formula sheet, Cheat Sheet of Physics

Physics formula sheet with one dimensional kinematics, newton's laws of motion, work and kinetic energy, linear momentum and collisions.

Typology: Cheat Sheet

2021/2022

Uploaded on 02/07/2022

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One Dimensional Kinematics
Newtonโ€™s Laws of Motion
Applications of Newtonโ€™s Laws
Work and Kinetic Energy
๏‚ท โˆ†๐‘ฅ โ‰ก ๐‘ฅ๐‘“ โ€“ ๐‘ฅ๐‘–
๏‚ท Avg speed โ‰ก ๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘‘๐‘–๐‘ ๐‘ก๐‘Ž๐‘›๐‘๐‘’ ๐‘ก๐‘Ÿ๐‘Ž๐‘ฃ๐‘’๐‘™๐‘’๐‘‘
๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘ก๐‘–๐‘š๐‘’
๏‚ท ๐‘‰๐‘Ž๐‘ฃ๐‘” โ‰ก โˆ†๐‘ฅ
โˆ†๐‘ก = ๐‘ฅ๐‘“โˆ’๐‘ฅ๐‘–
๐‘ก๐‘“โˆ’๐‘ก๐‘–
๏‚ท ๐‘ฃ โ‰ก lim
โˆ†๐‘กโ†’0๐‘ฃ๐‘Ž๐‘ฃ๐‘” = lim
โˆ†๐‘กโ†’0โˆ†๐‘ฅ
โˆ†๐‘ก
๏‚ท ๐‘Ž๐‘Ž๐‘ฃ๐‘” โ‰กโˆ†๐‘ฃ
โˆ†๐‘ก =๐‘ฃ๐‘“โˆ’๐‘ฃ๐‘–
๐‘ก๐‘“โˆ’๐‘ก๐‘–
๏‚ท ๐‘Ž โ‰ก lim
โˆ†๐‘กโ†’0๐‘Ž๐‘Ž๐‘ฃ = lim
โˆ†๐‘กโ†’0โˆ†๐‘ฃ
โˆ†๐‘ก
๏‚ท Constant linear acceleration
๏‚ท ๐‘ฃ = ๐‘ฃ๐‘œ+๐‘Ž๐‘ก
๏‚ท ๐‘ฅ = ๐‘ฅ๐‘œ+ 1
2 (๐‘ฃ๐‘œ+๐‘ฃ)๐‘ก
๏‚ท ๐‘ฅ = ๐‘ฅ๐‘œ+๐‘ฃ๐‘œ๐‘ก+1
2๐‘Ž๐‘ก2
๏‚ท ๐‘ฃ2=๐‘ฃ0
2+2๐‘Ž(๐‘ฅโˆ’ ๐‘ฅ0)
๏‚ท โˆ‘๐น = ๐‘š๐‘Ž
๏‚ท ๐‘Š = ๐‘š๐‘”
๏‚ท ๐‘“๐‘  โ‰ค ๐œ‡๐‘ ๐‘
๏‚ท ๐‘“๐‘˜ = ๐œ‡๐‘˜๐‘
๏‚ท |๐น|=๐‘˜๐‘ฅ
๏‚ท ๐‘Ž๐‘=๐‘ฃ2
๐‘Ÿ
๏‚ท ๐‘Š โ‰ก ๐น๐‘‘cos๐œƒ
๏‚ท ๐พ โ‰ก 1
2๐‘š๐‘ฃ2
๏‚ท ๐‘Š๐‘›๐‘’๐‘ก = โˆ†๐พ
๏‚ท ๐‘Š = 1
2๐‘˜๐‘ฅ2
๏‚ท ๐‘ƒ = ๐‘Š
๐‘ก=๐น๐‘ฃ
๏‚ท ๐‘Š๐‘= โˆ’โˆ†๐‘ˆ
๏‚ท ๐‘ˆ๐‘”๐‘Ÿ๐‘Ž๐‘ฃ โ‰ก ๐‘š๐‘”๐‘ฆ
๏‚ท ๐ธ โ‰ก ๐พ+ ๐‘ˆ
๏‚ท ๐‘ˆ๐‘ ๐‘๐‘Ÿ๐‘–๐‘›๐‘” โ‰ก1
2๐‘˜๐‘ฅ2
๏‚ท ๐‘Š๐‘›๐‘ = โˆ†๐ธ
Potential Energy and Conservation of Energy
University Physics 1 - Formula Sheet
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One Dimensional Kinematics

Newtonโ€™s Laws of Motion

Applications of Newtonโ€™s Laws

Work and Kinetic Energy

๏‚ท Avg speed โ‰ก ๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘‘๐‘–๐‘ ๐‘ก๐‘Ž๐‘›๐‘๐‘’ ๐‘ก๐‘Ÿ๐‘Ž๐‘ฃ๐‘’๐‘™๐‘’๐‘‘ ๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘ก๐‘–๐‘š๐‘’ ๏‚ท ๐‘‰๐‘Ž๐‘ฃ๐‘” โ‰ก โˆ†๐‘ฅ โˆ†๐‘ก

๐‘ฅ๐‘“โˆ’๐‘ฅ๐‘– ๐‘ก๐‘“โˆ’๐‘ก๐‘– ๏‚ท ๐‘ฃ โ‰ก lim โˆ†๐‘กโ†’ ๐‘ฃ๐‘Ž๐‘ฃ๐‘” = lim โˆ†๐‘กโ†’ โˆ†๐‘ฅ โˆ†๐‘ก ๏‚ท ๐‘Ž๐‘Ž๐‘ฃ๐‘” โ‰ก โˆ†๐‘ฃ โˆ†๐‘ก =^ ๐‘ฃ๐‘“โˆ’๐‘ฃ๐‘– ๐‘ก๐‘“โˆ’๐‘ก๐‘– ๏‚ท ๐‘Ž โ‰ก lim โˆ†๐‘กโ†’ ๐‘Ž๐‘Ž๐‘ฃ = lim โˆ†๐‘กโ†’ โˆ†๐‘ฃ โˆ†๐‘ก ๏‚ท Constant linear acceleration ๏‚ท ๐‘ฃ = ๐‘ฃ๐‘œ + ๐‘Ž๐‘ก ๏‚ท ๐‘ฅ = ๐‘ฅ๐‘œ +^ 1 2

1 2

2 ๏‚ท ๐‘ฃ 2 = ๐‘ฃ 0 2

  • 2๐‘Ž(๐‘ฅ โˆ’ ๐‘ฅ 0 ) ๏‚ท โˆ‘ ๐น = ๐‘š๐‘Ž ๏‚ท ๐‘Š = ๐‘š๐‘” ๏‚ท ๐‘“๐‘  โ‰ค ๐œ‡๐‘ ๐‘ ๏‚ท ๐‘“๐‘˜ = ๐œ‡๐‘˜๐‘

๐‘ฃ^2 ๐‘Ÿ ๏‚ท ๐‘Š โ‰ก ๐น๐‘‘ cos ๐œƒ ๏‚ท ๐พ โ‰ก 1 2

2 ๏‚ท ๐‘Š๐‘›๐‘’๐‘ก = โˆ†๐พ

1 2

๐‘˜๐‘ฅ^2

๐‘Š ๐‘ก

1 2

๐‘˜๐‘ฅ^2

Potential Energy and Conservation of Energy

University Physics 1 - Formula Sheet

Linear Momentum and Collisions

Rotational Kinematics and Energy

๏‚ท โˆ‘ ๐น = lim โˆ†๐‘กโ†’ โˆ†๐‘โƒ— โˆ†๐‘ก ๏‚ท โˆ‘ ๐นโƒ—๐‘Ž๐‘ฃ๐‘” = โˆ†๐‘โƒ— โˆ†๐‘ก ๏‚ท ๐ผโƒ—= โˆ‘ ๐นโƒ—๐‘Ž๐‘ฃ๐‘” โˆ†๐‘ก ๏‚ท ๐ผโƒ— = โˆ†๐‘โƒ— ๏‚ท ๐œƒ โ‰ก ๐‘  ๐‘Ÿ ๏‚ท โˆ†๐œƒ โ‰ก ๐œƒ๐‘“ โˆ’ ๐œƒ๐‘– ๏‚ท ๐œ”๐‘Ž๐‘ฃ๐‘” โ‰ก โˆ†๐œƒ โˆ†๐‘ก

๐œƒ๐‘“โˆ’๐œƒ๐‘– ๐‘ก๐‘“โˆ’๐‘ก๐‘–

๏‚ท ๐œ” โ‰ก lim โˆ†๐‘กโ†’ โˆ†๐œƒ โˆ†๐‘ก ๏‚ท ๐›ผ๐‘Ž๐‘ฃ๐‘” โˆ†๐œ” โˆ†๐‘™

๐œ”๐‘กโˆ’๐œ”๐‘– ๐‘™๐‘กโˆ’๐‘™๐‘– ๏‚ท ๐›ผ โ‰ก lim โˆ†๐‘กโ†’ ฮ”๐œ” ฮ”๐‘ก ๏‚ท ๐‘‡ = 2๐œ‹ ๐œ” ๏‚ท ๐‘ฃ๐‘ก = ๐‘Ÿ๐œ” ๏‚ท ๐‘Ž๐‘ก = ๐‘Ÿ๐›ผ ๏‚ท ๐‘Ž๐‘๐‘ = ๐‘Ÿ๐œ”^2

โˆ‘ ๐‘š๐‘–๐‘ฅ๐‘– โˆ‘ ๐‘š๐‘–

๐‘š 1 ๐‘ฅ 1 +๐‘š 2 ๐‘ฅ 2 +โ‹ฏ ๐‘š 1 +๐‘š 2 +โ‹ฏ ๏‚ท ๐‘Œ๐‘๐‘š = โˆ‘ ๐‘š๐‘–๐‘ฆ๐‘– โˆ‘ ๐‘š๐‘–

๐‘š 1 ๐‘ฃ 1 +๐‘š 2 ๐‘ฃ+โ‹ฏ ๐‘š 1 +๐‘š 2 +โ‹ฏ ๏‚ท Constant angular acceleration ๏‚ท ๐œ” = ๐œ”๐‘œ + ๐›ผ๐‘ก ๏‚ท ๐œƒ = ๐œƒ๐‘œ + 1 2

๏‚ท ฮธ = ๐œƒ๐‘œ + ๐œ”๐‘œ๐‘™ + 1 2

๐›ผ๐‘ก^2

๏‚ท ๐œ”^2 = ๐œ” 02 + 2๐›ผ(๐œƒ โˆ’ ๐œƒ๐‘Ž)

๏‚ท ๐ผ โ‰ก โˆ‘^ ๐‘š๐‘–๐‘Ÿ๐‘–

2 = ๐‘š 1 ๐‘Ÿ 12 + ๐‘š 2 ๐‘Ÿ 22 + ๐‘ ๐‘–= โ‹ฏ ๐‘š๐‘๐‘Ÿ๐‘^2 (N point masses) ๏‚ท ๐พ๐‘Ÿ๐‘œ๐‘ก โ‰ก 1 2

2 ๏‚ท ๐พ๐‘ก๐‘œ๐‘ก๐‘Ž๐‘™ = ๐พ๐‘ก๐‘Ÿ๐‘Ž๐‘›๐‘  + ๐พ๐‘Ÿ๐‘œ๐‘ก = 1 2

2

1 2

๐ผ๐‘๐‘š๐œ”^2

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

Solar System Data