Physics Formula Sheet Constants/Basic π₯= Name: ______________________ 04 Momentum 02 Forces πΉπππ‘ = ππ π = ππ ππ ≤ ππ πΉπ ππ = ππ πΉπ −π ± √π 2 − 4ππ 2π πππππ ππ‘π βπ¦πππ‘πππ’π π ππππππππ‘ cos(π) = βπ¦πππ‘πππ’π π πππππ ππ‘π tan(π) = ππππππππ‘ sin(π) = π ππππ’π ππ πΈπππ‘β = 6.38 × 106 π πππ π ππ πΈπππ‘β = 5.98 × 1024 ππ π π = 9.80 2 π ππ2 πΊ = 6.673 × 10−11 ππ2 23 ππ΄ = 6.02 × 10 ππ = −1.60 × 10−19 πΆ π0 = 8.85 × 10−12 πΆ 2 /(π ⋅ π2 ) ππ π0 = 4π × 10−7 π β = 6.63 × 10−34 π½ ⋅ π πππ 1 π’ = 931.5 2 π ππ = 9.11 × 10−31 ππ ππ = 1.6726 × 10−27 ππ ππ = 1.6749 × 10−27 ππ πππππ ππ π ππ’ππ ππ πππ ππ‘ 20°πΆ = 343 π/π ππ π·πππ ππ‘π¦ ππ π€ππ‘ππ = 1000 3 π 01 Motion Δπ = ππ − π0 πππ π‘ π£ππ£π = Δπ‘ Δπ ππ − π0 π£ππ£π = = Δπ‘ π‘π − π‘0 π£π − π£0 π= π‘π − π‘0 π = π£π‘ + π0 π£0 + π£ π£= 2 π£ = ππ‘ + π£0 1 π = ππ‘ 2 + π£0 π‘ + π0 2 π£ 2 = π£02 + 2π(π − π0 ) π£02 π π π 2π π= π π0 = ππ 1 πΎπΈ = ππ£ 2 2 πΏ = πΌπ π₯πΏ ππππ‘ = π₯π‘ πΏ0 = πΏπ πΉπ = πΔπ₯ 03 Uniform Circular Motion and Torque Δπ = Δπ π π£2 = ππ2 π ππ£ 2 πΉπΆ = = πππ2 π π = πΉπ sin π π₯ = ππ π₯π π= π₯π‘ π£ = ππ π₯π πΌ= π₯π‘ ππ‘ = ππΌ π = ππ‘ π = π0 + πΌπ‘ 1 π = π0 π‘ + πΌπ‘ 2 2 π2 = π02 + 2πΌπ π = πΌπΌ Hoop about cylinder axis: πΌ = ππ 2 ππ = Hoop about any diameter: πΌ = Ring: πΌ = π 2 ππ 2 2 (π 12 + π 22 ) Solid cylinder (or disk) about cylinder axis: πΌ = ππ 2 2 Solid cylinder (or disk) about central diameter: πΌ = ππ 2 4 + πβ2 12 Thin rod about axis through center ⊥ to length: πΌ = πβ2 12 Thin rod about axis through one end ⊥ to length: πΌ = πβ2 Solid sphere: πΌ = 3 2ππ 2 5 Thin spherical shell: πΌ = 2ππ 2 3 Slab about ⊥ axis through center: πΌ= Created by Richard Wright – Andrews Academy π½ = πΉΔπ‘ π = ππ£ πΉπ₯π‘ = ππ£π − ππ£0 π(π2 +π 2 ) 12 05 Kepler’s Laws and Gravity π12 π13 = π22 π23 ππ + ππ π= 2 π = √ππ ππ π = ππ − π π π= π πΊππ πΉπΊ = π2 πΊπ π= 2 π π£= 2ππ π πΊπ π£=√ π π 2 4π 2 = π 3 πΊπ 4π 2 3 π2 = π πΊπ 06 Energy π = πΉπ cos π π π= π‘ 1 πΎπΈ = ππ£ 2 2 1 πΎπΈ = πΌπ2 2 ππΈπ = ππβ 1 ππΈπ = ππ₯ 2 2 ππΈπ + πΎπΈπ = ππΈ0 + πΎπΈ0 πΈ0 + ππππ‘ = πΈπ πΉπ ππ πΌππ΄ = = πΉπ ππ To be used with OpenStax High School Physics Physics Formula Sheet Lever: πΌππ΄ = πΏπ πΏπ Wheel and Axle: πΌππ΄ = Inclined Plane: πΌππ΄ = Wedge: πΌππ΄ = Screw: πΌππ΄ = π π πΏ β πΏ π‘ 2ππΏ π Pulley: πΌππ΄ = π πππ’π‘ πΈπππππππππ¦ (πΈππ) = × 100% πππ 07 Static Electricity |π1 π2 | π2 πΉ ππ πΈ= = 2 π0 π ΔππΈ ππ π= = π0 π Δπ πΈ= π₯π − π₯0 π0 πΌ π΅=π 2π π΅ = π0 ππΌ πΉ π0 πΌ1 πΌ2 = π 2ππ Φ = π΅π΄ cos π Φ − Φ0 ΔΦ πππ = −π ( ) = −π π‘ − π‘0 Δπ‘ πΉ = ππ£π΅ sin π πππ = π£π΅πΏ πππ = ππ΅π΄π sin ππ‘ π = 2ππ πΌπ ππ ππ = = πΌπ ππ ππ Name: __________________ 12 Dual Nature of Light π π 1 π sin π = (π + ) 2 π sin π = π π π π π = 1.22 π· sin π = π πΈ = πβπ = π βπ π πΎπΈπ = βπ − π΅πΈ π= β βπ = π π πΉ=π 08 Circuits Δπ πΌ= Δπ‘ πΌ = πππ΄π£π π = πΌπ π π = π 1 + π 2 + π 3 + β― 1 1 1 1 = + + +β― π π π 1 π 2 π 3 π = πΌπ π = πΌ2 π π2 π= π 1 πππ£π = πΌ0 π0 2 πΌ0 πΌπππ = √2 π0 ππππ = √2 09 Magnetism πΉβ = ππ£π΅ sin π ππ£ π= ππ΅ πΉ = πΌπΏπ΅ sin π π = ππΌπ΄π΅ sin π β = π0 πΌ β ⋅ π₯β ∑π΅ π0 πΌ π΅= 2ππ Created by Richard Wright – Andrews Academy 10 Waves and Sound 1 π= π π π£ = =π⋅π π π΅πππ‘π = |π1 − π2 | π πΌ= π΄ π΄π πβπππ = 4ππ 2 (Δπ)2 πΌ= 2ππ£π€ πΌ π½ = (10 ππ΅) log ( ) πΌ0 π£π€ ± π£π ππ = ππ ( ) π£π€ β π£π π£π€ ππ = π ( ) 2πΏ π£π€ ππ = π ( ) 4πΏ 13 Radioactivity, Fission, and Fusion π΄ π΄−4 4 ππ → π−2π + 2He π΄ π΄ − ππ → π+1π + π + π π΄ π΄ ππ → ππ + πΎ π = π0 π −ππ‘ π= ln(2) π‘1⁄ 2 πΈ = ππ 2 11 Electromagnetic Rays π = ππ ππ = ππ 1 π= π 2 1 π=− π 2 1 1 1 = + π ππ ππ βπ ππ π= =− βπ ππ π π= π£ ππ = sin−1 π= π2 π1 1 π To be used with OpenStax High School Physics H B!! 9.012 38 Potassium 39.098 Actinide Series Lanthanide Series La Actinium 227.028 I Ac 89 Lanthanum 138.905 57 I 90 58 lr Rt 0 Hafnium 178.49 Ta - Il 42 Cr Chromium 51.996 24 V IB 6B 6 II 43 Manganese 54.938 Mn 25 V IIB 7B 7 I Protactinium 231.036 11 11 Th I Pa Thorium 232.038 l 92 60 Uranium 238.029 u 144.243 Seaborg1um L [266] _J ..J" 91 59 Dubnium [262] "L 140.908 Cerium 140.116 0 J Jl Cobalt 58.933 Co RοΏ½οΏ½ 102.906 45 27 94 63 150.36 I Plutonium 244.064 30 Zn 2B 11B 12 31 Gallium 69.723 Aluminum 26.982 Al Boron 10.811 B 79 80 81 Thallium 204.383 Indium 114.818 1 1 I 32 14 6 Silicon 28.086 Si Carbon 12.011 C 14 IVA 4A - l 96 Americium 243.061 65 Curium 247.070 97 247.070 Terbium 158.925 66 67 ._ 98 251.080 .J Dysprosium 162.500 .J i....- 99 [254] Holmium 164.930 N 15 VA SA 33 ...J 83 69 Astatine 209.987 At Iodine 126.904 I Bromine 79.904 Br 1111 1 JIll 85 53 35 Cl Fluorine 18.998 F Chlorine 35.453 17 9 17 V IIA 7A Fermium 257.095 70 71 Vb Radon 222.018 Rn Lutetium 174.967 Lu Oganesson [294] Og 118 - 86 Xenon 131.294 Krypton 83.798 Kr Argon 39.948 Ar Neon 20.180 Ne Helium 4.003 He Xe 54 36 18 10 2 18 VIIIA SA Mendelevium 258.1 Th Jlium 16 3.934 - Nobelium 259.101 Ytterbium 173.055 © 2017 Todd Helmenstine sciencenotes.org Lawrencium [262] __J -0 102 °3 r Md No 1 Lr l I Tennessine Livermorium L[293] _JL [294] T1m Moscovium L_ [289] Er , 6 Polonium [208.982] Po l 84 Te Tellurium 127.6 52 Selenium 78.971 Se Sulfur 32.066 s Oxygen 15.999 0 16 VIA 6A Mc 1I Lv I Ts 11s Bismuth 208.980 Bi Antimony 121.760 Arsenic 74.922 34 16 8 J 11 Phosphorus 30.974 __J p Nitrogen 14.007 15 7 Erbium 167.259 100 68 Flerovium [289] Fl Lead 207.2 Pb 114 - 82 Tin 118.711 Germanium '- 72.631 _]j Gd I Tb I Dy I Ho Gadolinium 157.25 ...J L- 64 Nihonium Darmstadtium Roentgenium Copernicium [281] _j l- [280] _jL_ [285] _JL [286] 1 200.592 Cadmium 112.414 Zinc 65.38 r Ds 1r Rg 1r Cn 1r Nh 1 Platinum 195.085 Gold 196.967 Silver 107.868 Copper 63.546 Tl Pt Au L JL JL οΏ½JI JL Europium 151.964 95 Nickel 58.693 Palladium 106.42 78 Eu Meitnerium L_ [278] Cu Np1 Pu Am cm Neptunium 237.048 93 62 Hassium [269] .JL... 144.913 .J 61 Bohrium [264] 0 Iridium 192.217 Hs r Mt 108 - Osmium 190.23 Ni 29 1B IB 11 13 5 13 IIIA 3A Ga 1 Ge 11 As I 47 51 46 49 48 50 Pd Ag Jl Cd L In Sn li sb 28 9 10 V II __ οΏ½ ' 176 1ri1 Ir Re 1I Os Rhenium 186.207 7f7s w L Tungsten L- 183.84 74 Db r Sg 1°8h 105 - Tantalum 180.948 73 101.07 Iron 55.845 Fe ll RοΏ½οΏ½m 44 26 f 8 Periodic Table of the Elements οΏ½οΏ½ οΏ½οΏ½ i M Te!οΏ½um m 95.95 _JL 98.907 _J 92.906 _Ja F -m Ce Rutherfordium [261] .________.L..- Radium 226.025 Francium 223.020 Ra 88 87 Fr 89-103 Barium 137.328 Cesium 132.905 Hf Ba 72 Zirconium 91.224 Cs 55 41 V 5 VB SB Vanadium 50.942 23 Zr l 57-71 Yttrium 88.906 V 40 Titanium 47.867 Ti 56 Sr 39 Sc 22 4B 4 IVB Strontium 87.62 Rb Calcium 40.078 Ca Scandium 44.956 -, 21 3 111B 3B Rubidium 85.468 37 K 20 19 Magnesium L 24.305 _J r- Sodium 22.990 12 4 2 IIA 2A Na I Mg LiοΏ½οΏ½mj 6.941 Hydrogen 1.008 11 3 1 IA 1A 1