Formula Sheet - Physics 11
Transcript of Formula Sheet - Physics 11
Physics 11 – Physics Formulas & Constants
Kinematics
𝑣!"# =∆𝑑∆𝑡 =
𝑣! + 𝑣!2 → ∆𝑑 = 𝑣∆𝑡 𝑎 =
∆𝑣∆𝑡 =
𝑣! − 𝑣!∆𝑡
The Big Three: 𝒗𝒇 = 𝒗𝒊 + 𝒂𝒕 𝒗𝒇! = 𝒗𝒊! + 2𝒂𝒅 𝒅 = 𝒗𝒊𝑡 +
!!𝒂𝑡!
Dynamics
𝑭𝒏𝒆𝒕 = 𝑚𝒂 𝑭𝑺 = 𝑘∆𝐿 𝑭𝒇 = 𝜇𝑭𝑵
𝑭𝒈 = 𝑚𝑔 𝑭𝒈 =𝐺𝑚!𝑚!
𝑟! 𝑔 =𝐺𝑀𝑟!
𝒑 = 𝑚𝒗 𝐼𝑚𝑝𝑢𝑙𝑠𝑒: ∆𝒑 = 𝑚∆𝒗 ∆𝒑 = 𝑭∆𝑡
𝐶𝑜𝑛𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛 𝑜𝑓 𝑀𝑜𝑚𝑒𝑛𝑡𝑢𝑚: 𝒑𝒊𝒏𝒊𝒕𝒊𝒂𝒍 = 𝒑𝒇𝒊𝒏𝒂𝒍
Work and Energy
𝑊 = 𝐹∆𝑑 𝑊 = ∆𝐸 𝑃𝑜𝑤𝑒𝑟 =𝑊∆𝑡 𝑜𝑟 𝑃 =
∆𝐸∆𝑡 𝐸𝑓𝑓 =
𝑊!
𝑊!
𝐸! =12𝑚𝑣
! 𝐸!" = 𝑚𝑔ℎ 𝐸!" =12 𝑘𝑥
! 𝑄 = 𝑚𝑐𝛥𝑇
𝐶𝑜𝑛𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛 𝑜𝑓 𝐸𝑛𝑒𝑟𝑔𝑦 (𝑛𝑜𝑡 𝑖𝑛𝑐𝑙𝑢𝑑𝑖𝑛𝑔 𝑤𝑜𝑟𝑘): 𝑇𝑜𝑡𝑎𝑙 𝐸!"!#!$% = 𝑇𝑜𝑡𝑎𝑙 𝐸!"#$%
Waves, Light and Optics
𝑣 = 𝑓𝜆 𝑛 =𝑐𝑣 𝑓! = 𝑓!
𝑣! ± 𝑣!𝑣! ∓ 𝑣!
𝑣!"#$% = 331+ 0.6𝑇 𝑣!𝜆!=𝑣!𝜆!
𝑛!𝑠𝑖𝑛𝜃! = 𝑛!𝑠𝑖𝑛𝜃! 𝑚 =ℎ!ℎ!= −
𝑑!𝑑!
1𝑓 =
1𝑑!+1𝑑!
Special Relativity and Nuclear Physics
𝐸 = 𝑚𝑐! 𝑡 =𝑡!
1− 𝑣!
𝑐!
𝐿 = 𝐿! 1−𝑣!
𝑐! 𝑚 =𝑚!
1− 𝑣!
𝑐!
𝑢 =𝑢! + 𝑣
1+ 𝑢′𝑣𝑐!
Circuits
𝐼 =𝑄𝑡 𝑉 =
𝐸𝑄 𝑂ℎ𝑚
!𝑠 𝐿𝑎𝑤: 𝑉 = 𝐼𝑅 𝑃𝑜𝑤𝑒𝑟 = 𝐼𝑉 𝑉!"#$%&'( = ℰ ± 𝐼𝑟
Quadratic Formula: 𝑥 = !!± !!!!!"!!
Index of Refraction Specific heat Latent Heat
Constants 𝒄 = 𝟑.𝟎×𝟏𝟎𝟖𝒎/𝒔 g = -9.80665 m/s2 RE = 6.37x106m G = 6.67x10-11 N m2/kg2
Medium n
Gases at 0°C
Air 1.000293 Carbon Dioxide 1.00045 Hydrogen 1.000139 Oxygen 1.000271
Liquids at 20°C
Benzene 1.501 Carbon disulphide 1.628 Carbon tetrachloride
1.461
Ethanol 1.361 Glycerine 1.473 Water, fresh 1.333
Solids at 20° C Diamond 2.419 Fluorite 1.434 Glass, crown 1.52 Class, flint 1.66 Ice at 20° C 1.309 Polystyrene 1.49 Plexiglas (acrylic) 1.51 Quartz, crystalline 1.544 Quartz, fused 1.458 Sodium chloride 1.544 Zircon 1.923
Substances J/kg °C Aluminum 900 Asbestos 800 Concrete, granite
840
Copper 387 Glass 840 Gold 129 Human body
3500
Ice 2090 Iron, steel 425 Lead 128 Silver 235 Wood 1700 Benzene 1740 Ethanol 2450 Glycerine 2410 Mercury 139 Water 15°C 4186 Air 1015 Ammonia 2190 Carbon dioxide
833
Nitrogen 1040 Oxygen 913 Steam (100°C)
2020
Substances Melting Point (°C)
𝑳𝒇 (kJ/kg) ×𝟏𝟎𝟑
Boiling Point (°C)
𝑳𝒗 (kJ/kg) ×𝟏𝟎𝟑
Hydrogen -259.3 58.6 -252.9 452 Nitrogen -210.0 25.5 -195.8 201 Oxygen -218.8 13.8 -183.0 213 Ethanol -114 104 78.3 854 Ammonia -77.7 332 -33.4 1370 Mercury -38.9 11.8 357 272 Water 0.00 334 100.0 2256 Sulphur 119 38.1 444.6 326 Lead 327 24.5 1750 871 Antimony 631 165 1440 561 Aluminum 660 380 2450 11400 Silver 961 88.3 2193 2336 Gold 1063 64.5 2660 1578 Copper 1083 134 2595 5069 Uranium 1133 84 3900 1900 Tungsten 3410 184 5900 4810