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Physics Formula Sheet: Introduction to Physics, Kinematics, Dynamics, and More, Cheat Sheet of Life Sciences

Loyola Marymount University (LMU)Life Sciences

topics covered include newton laws of motion and friction

Typology: Cheat Sheet

2021/2022

Uploaded on 11/06/2023

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sarmad-alani-1 🇺🇸

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bg1
Please Do Not Write on This Sheet
P
Ph
hy
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si
ic
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Fo
or
rm
mu
ul
la
a
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Sh
he
ee
et
t
Chapter 1: Introduction: The
Nature of Science and Physics
𝑥=−𝑏±√𝑏2−4𝑎𝑐
2𝑎
𝑅𝑎𝑑𝑖𝑢𝑠 𝑜𝑓 𝐸𝑎𝑟𝑡ℎ=6.38×106 𝑚
𝑀𝑎𝑠𝑠 𝑜𝑓 𝐸𝑎𝑟𝑡ℎ=5.98×1024 𝑘𝑔
𝑐=3.00×108 𝑚/𝑠
𝐺=6.673×10−11𝑁𝑚2
𝑘𝑔2
𝑁𝐴=6.02×1023
𝑘=1.38×10−23𝐽/𝐾
𝑅=8.31𝐽𝑚𝑜𝑙⋅𝐾
⁄
𝜎=5.67×10−8𝑊/(𝑚2⋅𝐾)
𝑘=8.99×109 𝑁 ⋅ 𝑚2/𝐶2
𝑞𝑒=−1.60×10−19 𝐶
𝜖0=8.85×10−12𝐶2/(𝑁⋅𝑚2)
𝜇0=4π×10−7 𝑇 ⋅ 𝑚/𝐴
ℎ=6.63×10−34 𝐽⋅ 𝑠
𝑚𝑒=9.11×10−31 𝑘𝑔
𝑚𝑝=1.6726×10−27 𝑘𝑔
𝑚𝑛=1.6749×10−27 𝑘𝑔
𝑎𝑚𝑢=1.6605×10−27 𝑘𝑔
𝐷𝑒𝑛𝑠𝑖𝑡𝑦 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟=1000𝑘𝑔
𝑚3
Chapter 2: Kinematics
𝛥𝑥=𝑥𝑓−𝑥0
𝛥𝑡=𝑡𝑓−𝑡0
𝑣=𝛥𝑥
𝛥𝑡=𝑥𝑓−𝑥0
𝑡𝑓−𝑡0
𝑎=𝛥𝑣
𝛥𝑡=𝑣𝑓−𝑣0
𝑡𝑓−𝑡0
𝑥=𝑥0+𝑣𝑡
𝑣=𝑣0+𝑣
2
𝑣=𝑣0+𝑎𝑡
𝑥=𝑥0+𝑣0𝑡+12𝑎𝑡2
𝑣2=𝑣02+2𝑎(𝑥−𝑥0)
𝑔=9.80𝑚
𝑠2
Chapter 3: Two-Dimensional
Kinematics
𝐴𝑥=𝐴𝑐𝑜𝑠𝜃
𝐴𝑦=𝐴𝑠𝑖𝑛𝜃
𝑅𝑥=𝐴𝑥+𝐵𝑥
𝑅𝑦=𝐴𝑦+𝐵𝑦
𝑅=√𝑅𝑥2+𝑅𝑦
2
𝜃=𝑡𝑎𝑛−1𝑅𝑦
𝑅𝑥
ℎ=𝑣0𝑦
2
2𝑔
𝑅=𝑣02𝑠𝑖𝑛2𝜃0
𝑔
𝑣𝑥=𝑣𝑐𝑜𝑠𝜃
𝑣𝑦=𝑣𝑠𝑖𝑛𝜃
𝑣=√𝑣𝑥2+𝑣𝑦2
𝜃=𝑡𝑎𝑛−1𝑣𝑦
𝑣𝑥
Chapter 4: Dynamics: Forces
and Newton’s Laws of Motion
𝐹𝑛𝑒𝑡=𝑚𝑎
𝑤=𝑚𝑔
Chapter 5: Further Applications
of Newton’s Laws: Friction,
Drag, and Elasticity
𝑓𝑠≤𝜇𝑠𝑁
𝑓𝑘=𝜇𝑘𝑁
𝐹𝐷=12𝐶𝜌𝐴𝑣2
𝐹𝑠=6𝜋𝜂𝑟𝑣
𝐹=𝑘𝛥𝑥
𝛥𝐿=1𝐹
𝑌𝐴𝐿0
𝑠𝑡𝑟𝑒𝑠𝑠=𝐹
𝐴
𝑠𝑡𝑟𝑎𝑖𝑛=𝛥𝐿
𝐿0
𝑠𝑡𝑟𝑒𝑠𝑠=𝑌×𝑠𝑡𝑟𝑎𝑖𝑛
𝛥𝑥=1𝐹
𝑆𝐴𝐿0
𝛥𝑉=1𝐹
𝐵𝐴𝑉0
Chapter 6: Uniform Circular
Motion and Gravitation
𝛥𝜃=𝛥𝑠
𝑟
2𝜋 𝑟𝑎𝑑= 360°=1 𝑟𝑒𝑣𝑜𝑙𝑢𝑡𝑖𝑜𝑛
𝜔=𝛥𝜃
𝛥𝑡
𝑣=𝑟𝜔
𝑎𝐶=𝑣2
𝑟
𝑎𝐶=𝑟𝜔2
𝐹𝐶=𝑚𝑎𝐶
𝐹𝐶=𝑚𝑣2
𝑟
𝑡𝑎𝑛𝜃=𝑣2
𝑟𝑔
𝐹𝐶=𝑚𝑟𝜔2
𝐹=𝐺𝑚𝑀
𝑟2
𝑔=𝐺𝑀
𝑟2
𝑇12
𝑇22=𝑟13
𝑟23
𝑇2=4𝜋2
𝐺𝑀𝑟3
𝑟3
𝑇2=𝐺
4𝜋2𝑀
Chapter 7: Work, Energy, and
Energy Resources
𝑊=𝑓𝑑𝑐𝑜𝑠𝜃
𝐾𝐸=12𝑚𝑣2
𝑊𝑛𝑒𝑡=12𝑚𝑣𝑓2−12𝑚𝑣02
𝑃𝐸𝑔=𝑚𝑔ℎ
𝑃𝐸𝑠=12𝑘𝑥2
𝐾𝐸0+𝑃𝐸0=𝐾𝐸𝑓+𝑃𝐸𝑓
𝐾𝐸0+𝑃𝐸0+𝑊𝑛𝑐=𝐾𝐸𝑓+𝑃𝐸𝑓
𝐸𝑓𝑓=𝑊𝑜𝑢𝑡
𝐸𝑖𝑛
𝑃=𝑊
𝑡
Chapter 8: Linear Momentum
and Collisions
𝑝=𝑚𝑣
𝛥𝑝=𝐹𝑛𝑒𝑡𝛥𝑡
𝑝0=𝑝𝑓
𝑚1𝑣01+𝑚2𝑣02=𝑚1𝑣𝑓1+𝑚2𝑣𝑓2
pf3
pf4

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Download Physics Formula Sheet: Introduction to Physics, Kinematics, Dynamics, and More and more Cheat Sheet Life Sciences in PDF only on Docsity!

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Chapter 1: Introduction: The

Nature of Science and Physics

2

𝑅𝑎𝑑𝑖𝑢𝑠 𝑜𝑓 𝐸𝑎𝑟𝑡ℎ = 6. 38 × 10

6

𝑀𝑎𝑠𝑠 𝑜𝑓 𝐸𝑎𝑟𝑡ℎ = 5. 98 × 10

24

𝑐 = 3. 00 × 10

8

𝐺 = 6. 673 × 10

− 11

2

2

𝐴

= 6. 02 × 10

23

𝑘 = 1. 38 × 10

− 23

𝜎 = 5. 67 × 10

− 8

2

𝑘 = 8. 99 × 10

9

2

2

𝑒

= − 1. 60 × 10

− 19

0

= 8. 85 × 10

− 12

2

2

0

= 4π × 10

− 7

ℎ = 6. 63 × 10

− 34

𝑒

= 9. 11 × 10

− 31

𝑝

= 1. 6726 × 10

− 27

𝑛

= 1. 6749 × 10

− 27

𝑎𝑚𝑢 = 1. 6605 × 10

− 27

3

Chapter 2: Kinematics

𝑓

0

𝑓

0

𝑓

0

𝑓

0

𝑓

0

𝑓

0

0

0

0

0

0

2

2

0

2

0

2

Chapter 3: Two-Dimensional

Kinematics

𝑥

𝑦

𝑥

𝑥

𝑥

𝑦

𝑦

𝑦

𝑥

2

𝑦

2

− 1

𝑦

𝑥

0 𝑦

2

0

2

0

𝑥

𝑦

𝑥

2

𝑦

2

− 1

𝑦

𝑥

Chapter 4: Dynamics: Forces

and Newton’s Laws of Motion

𝑛𝑒𝑡

Chapter 5: Further Applications

of Newton’s Laws: Friction,

Drag, and Elasticity

𝑠

𝑠

𝑘

𝑘

𝐷

2

𝑠

0

0

𝑠𝑡𝑟𝑒𝑠𝑠 = 𝑌 × 𝑠𝑡𝑟𝑎𝑖𝑛

0

0

Chapter 6: Uniform Circular

Motion and Gravitation

𝐶

2

𝐶

2

𝐶

𝐶

𝐶

2

2

𝐶

2

2

2

1

2

2

2

1

3

2

3

2

2

3

3

2

2

Chapter 7: Work, Energy, and

Energy Resources

2

𝑛𝑒𝑡

𝑓

2

0

2

𝑔

𝑠

2

0

0

𝑓

𝑓

0

0

𝑛𝑐

𝑓

𝑓

𝑜𝑢𝑡

𝑖𝑛

Chapter 8: Linear Momentum

and Collisions

𝑛𝑒𝑡

0

𝑓

1

01

2

02

1

𝑓 1

2

𝑓 2

1

01

2

2

02

2

1

𝑓 1

2

2

𝑓 2

2

1

1

1

1

′

1

2

2

′

2

1

1

′

1

2

2

′

2

1

2

1

′

2

′

1

′

2

′

1

2

𝑒

𝑐𝑚

1

1

2

2

1

2

Chapter 9: Statics and Torque

⊥

𝑜

𝑖

𝑖

𝑜

𝑖

𝑖

𝑜

𝑜

Chapter 10: Rotational Motion

and Angular Momentum

𝑡

𝑡

0

0

2

2

0

2

0

Hoop about cylinder axis: 𝐼 = 𝑀𝑅

2

Hoop about any diameter: 𝐼 =

𝑀𝑅

2

2

Ring: 𝐼 =

𝑀

2

1

2

2

2

Solid cylinder (or disk) about

cylinder axis: 𝐼 =

𝑀𝑅

2

2

Solid cylinder (or disk) about

central diameter: 𝐼 =

𝑀𝑅

2

4

𝑀ℓ

2

12

Thin rod about axis through center

⊥ to length: 𝐼 =

𝑀ℓ

2

12

Thin rod about axis through one end

⊥ to length: 𝐼 =

𝑀ℓ

2

3

Solid sphere: 𝐼 =

2 𝑀𝑅

2

5

Thin spherical shell: 𝐼 =

2 𝑀𝑅

2

3

Slab about ⊥ axis through center:

𝑀(𝑎

2

+𝑏

2

)

12

𝑟𝑜𝑡

2

Chapter 11: Fluid Statics

𝑎𝑡𝑚

= 1. 01 × 10

5

2

1

1

1

2

2

𝐵

𝑓𝑙

𝑜𝑏𝑗

𝑓𝑙

𝑤

Chapter 12: Fluid Dynamics

and Its Biological Medical

Applications

1

1

2

2

1

1

1

2

2

2

1

1

2

1

2

2

2

2

2

1

2

1

4

2

1

4

𝑅

𝑅

′

𝑟𝑚𝑠

Chapter 13: Temperature,

Kinetic Theory, and the Gas

Laws

𝑘 = 1. 38 × 10

− 23

𝐴

= 6. 02 × 10

23

− 1

2

2

𝑟𝑚𝑠

× 100%

Chapter 14: Heat and Heat

Transfer Methods

Chapter 22: Magnetism

0

0

0

0

1

2

Chapter 23: Electromagnetic

Induction, AC Circuits, and

Electrical Technologies

𝑆

𝑃

𝑆

𝑃

𝑃

𝑆

1

2

μ

0

2

𝑖𝑛𝑑

2

0

−

𝑡

𝜏 )

0

−

𝑡

𝜏

𝐿

𝐿

𝐶

𝐶

0

0

𝑟𝑚𝑠

𝑟𝑚𝑠

2

𝐿

𝐶

2

0

𝑎𝑣𝑒

𝑟𝑚𝑠

𝑟𝑚𝑠

Chapter 24: Electromagnetic

Waves

0

0

𝑎𝑣𝑒

0

0

2

𝑎𝑣𝑒

0

2

0

𝑎𝑏𝑒

0

0

0

Chapter 25: Geometric Optics

𝑖

𝑟

1

1

2

2

𝑐

− 1

2

1

𝑜

𝑖

𝑖

𝑜

𝑖

𝑜

Chapter 26: Vision and Optical

Instruments

𝑜

𝑖

𝑜

𝑒

𝑖

𝑜

𝑜

𝑒

Chapter 27: Wave Optics

𝑛

sin 𝜃 = 𝑚

𝑛

𝑛

I = ½ I 0

0

2

𝑏

2

1

Chapter 28: Special Relativity

0

2

2

2

2

0

2

2

𝐿𝐺

𝐿𝑇

𝑇𝐺

𝐿𝑇

𝑇𝐺

2

𝑜𝑏𝑠

𝑠

𝑜𝑏𝑠

𝑠

2

2

2

2

2

0

2

𝑟𝑒𝑙

2

2

2

2

2

2

2

2