physics formula sheet, Cheat Sheet of Life Sciences

Download physics formula sheet and more Cheat Sheet Life Sciences in PDF only on Docsity! Please Do Not Write on This Sheet Physics Formula Sheet Chapter 1: Introduction: The Nature of Science and Physics —b + Vb? — 4ac x= 2a Radius of Earth = 6.38 x 10°m Mass of Earth = 5.98 x 107+ kg c¢ = 3.00 x 10° m/s Ry = Ay + By R= _|R2+R2 Nm G = 6.673 x 10711 kg? Na = 6.02 x 107 k = 1.38 x 10775J/K R=83/ ox o = 5.67 x 10-°W/(m? -K) k = 8.99 x 10° N -m?/C? de = -1.60 x 107° C €9 = 8.85 x 10-12C2/(N +m?) My = 4X 10-7 T+ m/A h = 663X107 J +s m, = 9.11 x 10731 kg mM, = 1.6726 x 10-77 kg m,, = 1.6749 x 10-27 kg amu = 1.6605 x 10-77 kg Chapter 4: Dynamics: Forces and Newton's Laws of Motion Free = ma w =mg v=ro vy? ac=— cr ac = rw? Fo = mac r= mv? cor vy? tan 6 =— Fo = mrw* _ mM F=6—> _ GoM ge Ta Te 2 24s GM reoG T? 4x? Chapter 5: Further Applications Chapter 7: Work, Energy, and Energy Resources of Newton’s Laws: Friction, W = fdcos@ kg oar « _ kg Drag, and Elasticity 1 Density of water = 1000 m2 KE = zm fe SUsN 1 1 Chapter 2: Kinematics Fic = HN Wret = sep sme Ax = x; —X Fy = 3 CpAv? PE, =mgh At = tp —to F, = 6mrv PE, = dae 2 — Ax x -—%X F =kAx -“_t 0 = ayaa a, KE + PE, = KE, + PE; aw =Fqlo KE + PEp + Wye = KEy + PEy a-—- F Ww, At tt stress => Eff==" = 3 in ae sain = eal strain = — = 2 bo v=v) tat stress =Y X strain - 1 Ax= 1F L Chapter 8: Linear Momentum XS ot Mot +—at? x a2 and Collisions v? = ve + 2a(x — Xp) AV = 5% p=mv m ga = g = 9805 AP = FygpAt Chapter 6: Uniform Circular Po= Pr Chapter 3: Two-Dimensional Kinematics Ay = Acos@ Ay = Asin@ Ry = A, + B, Motion and Gravitation As ag—— 2n rad = 360° = 1 revolution _ 40 w= MyzVo1 + MzVo2 = MzVpy + M2VpQ Please Do Not Write on This Sheet 1 2 𝑚1𝑣01 2 + 1 2 𝑚2𝑣02 2 = 1 2 𝑚1𝑣𝑓1 2 + 1 2 𝑚2𝑣𝑓2 2 𝑚1𝑣1 = 𝑚1𝑣1 ′ 𝑐𝑜𝑠 𝜃1 + 𝑚2𝑣2 ′ 𝑐𝑜𝑠 𝜃2 0 = 𝑚1𝑣1 ′ 𝑠𝑖𝑛 𝜃1 + 𝑚2𝑣2 ′ 𝑠𝑖𝑛 𝜃2 1 2 𝑚𝑣1 2 = 1 2 𝑚𝑣1 ′2 + 1 2 𝑚𝑣2 ′2 + 𝑚𝑣1 ′ 𝑣2 ′ 𝑐𝑜𝑠(𝜃1 − 𝜃2) 𝑎 = 𝑣𝑒 𝑚 𝛥𝑚 𝛥𝑡 − 𝑔 𝑣𝑐𝑚 = 𝑣1𝑚1 + 𝑣2𝑚2 𝑚1 + 𝑚2 Chapter 9: Statics and Torque 𝜏 = 𝑟𝐹 𝑠𝑖𝑛 𝜃 𝑟⊥ = 𝑟 𝑠𝑖𝑛 𝜃 𝑀𝐴 = 𝐹𝑜 𝐹𝑖 = 𝑙𝑖 𝑙𝑜 𝑙𝑖𝐹𝑖 = 𝑙𝑜𝐹𝑜 Chapter 10: Rotational Motion and Angular Momentum 𝜔 = 𝛥𝜃 𝛥𝑡 𝑣 = 𝑟𝜔 𝛼 = 𝛥𝜔 𝛥𝑡 𝑎𝑡 = 𝛥𝑣 𝛥𝑡 𝑎𝑡 = 𝑟𝛼 𝜃 = 𝜔𝑡 𝜔 = 𝜔0 + 𝛼𝑡 𝜃 = 𝜔0𝑡 + 1 2 𝛼𝑡2 𝜔2 = 𝜔0 2 + 2𝛼𝜃 𝜔 = 𝜔0 + 𝜔 2 𝑛𝑒𝑡 𝜏 = 𝐼𝛼 Hoop about cylinder axis: 𝐼 = 𝑀𝑅2 Hoop about any diameter: 𝐼 = 𝑀𝑅2 2 Ring: 𝐼 = 𝑀 2 (𝑅1 2 + 𝑅2 2) Solid cylinder (or disk) about cylinder axis: 𝐼 = 𝑀𝑅2 2 Solid cylinder (or disk) about central diameter: 𝐼 = 𝑀𝑅2 4 + 𝑀ℓ2 12 Thin rod about axis through center ⊥ to length: 𝐼 = 𝑀ℓ2 12 Thin rod about axis through one end ⊥ to length: 𝐼 = 𝑀ℓ2 3 Solid sphere: 𝐼 = 2𝑀𝑅2 5 Thin spherical shell: 𝐼 = 2𝑀𝑅2 3 Slab about ⊥ axis through center: 𝐼 = 𝑀(𝑎2+𝑏2) 12 𝑛𝑒𝑡 𝑊 = (𝑛𝑒𝑡 𝜏)𝜃 𝐾𝐸𝑟𝑜𝑡 = 1 2 𝐼𝜔2 𝐿 = 𝐼𝜔 𝑛𝑒𝑡 𝜏 = 𝛥𝐿 𝛥𝑡 Chapter 11: Fluid Statics 𝜌 = 𝑚 𝑉 𝑃 = 𝐹 𝐴 𝑃𝑎𝑡𝑚 = 1.01 × 105 𝑃𝑎 𝑃 = 𝜌𝑔ℎ 𝑃2 = 𝑃1 + 𝜌𝑔ℎ 𝐹1 𝐴1 = 𝐹2 𝐴2 𝐹𝐵 = 𝑤𝑓𝑙 𝐹𝑟𝑎𝑐𝑡𝑖𝑜𝑛 𝑠𝑢𝑏𝑚𝑒𝑟𝑔𝑒𝑑 = 𝜌𝑜𝑏𝑗 𝜌𝑓𝑙 𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑔𝑟𝑎𝑣𝑖𝑡𝑦 = 𝜌 𝜌𝑤 𝛾 = 𝐹 𝐿 𝑃 = 4𝛾 𝑟 ℎ = 2𝛾 𝑐𝑜𝑠 𝜃 𝜌𝑔𝑟 Chapter 12: Fluid Dynamics and Its Biological Medical Applications 𝑄 = 𝑉 𝑡 𝑄 = 𝐴𝑣 𝐴1𝑣1 = 𝐴2𝑣2 𝑛1𝐴1𝑣1 = 𝑛2𝐴2𝑣2 𝑃1 + 1 2 𝜌𝑣1 2 + 𝜌𝑔ℎ1 = 𝑃2 + 1 2 𝜌𝑣2 2 + 𝜌𝑔ℎ2 (Δ𝑃 + Δ 1 2 𝜌𝑣2 + Δ𝜌𝑔ℎ) 𝑄 = 𝑝𝑜𝑤𝑒𝑟 𝑣1 = √2𝑔ℎ 𝜂 = 𝐹𝐿 𝑣𝐴 𝑄 = 𝑃2 − 𝑃1 𝑅 𝑅 = 8𝜂𝑙 𝜋𝑟4 𝑄 = (𝑃2 − 𝑃1)𝜋𝑟4 8𝜂𝑙 𝑁𝑅 = 2𝜌𝑣𝑟 𝜂 𝑁𝑅 ′ = 𝜌𝑣𝐿 𝜂 𝑥𝑟𝑚𝑠 = √2𝐷𝑡 Chapter 13: Temperature, Kinetic Theory, and the Gas Laws 𝑇(°𝐹) = 9 5 𝑇(°𝐶) + 32 𝑇(𝐾) = 𝑇(°𝐶) + 273.15 𝛥𝐿 = 𝛼𝐿𝛥𝑇 𝛥𝐴 = 2𝛼𝐴𝛥𝑇 𝛥𝑉 = 𝛽𝑉𝛥𝑇 𝛽 ≈ 3𝛼 𝑃𝑉 = 𝑁𝑘𝑇 𝑘 = 1.38 × 10−23 𝐽/𝐾 𝑁𝐴 = 6.02 × 1023 𝑚𝑜𝑙−1 𝑃𝑉 = 𝑛𝑅𝑇 𝑅 = 8.31 𝐽 𝑚𝑜𝑙 ⋅ 𝐾 𝑃𝑉 = 1 3 𝑁𝑚𝑣 2 𝐾𝐸 = 1 2 𝑚𝑣 2 = 3 2 𝑘𝑇 𝑣𝑟𝑚𝑠 = √ 3𝑘𝑇 𝑚 % 𝑟𝑒𝑙𝑎𝑡𝑖𝑣𝑒 ℎ𝑢𝑚𝑖𝑑𝑖𝑡𝑦 = 𝑣𝑎𝑝𝑜𝑟 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 𝑠𝑎𝑡𝑢𝑟𝑎𝑡𝑖𝑜𝑛 𝑣𝑎𝑝𝑜𝑟 𝑑𝑒𝑛𝑎𝑠𝑖𝑡𝑦 × 100% Chapter 14: Heat and Heat Transfer Methods