Ap Physics B Formula Sheet, Cheat Sheet of Mathematical Statistics

Download Ap Physics B Formula Sheet and more Cheat Sheet Mathematical Statistics in PDF only on Docsity! SPH4U - Grade 12 Physics Formula Sheet General Stuff 𝑎 𝑠𝑖𝑛𝐴 = 𝑏 𝑠𝑖𝑛𝐵 = 𝑐 𝑠𝑖𝑛𝐶 𝑎2 = 𝑏2 + 𝑐2 − 2(𝑏)(𝑐)𝑐𝑜𝑠𝐴 −𝑏±√𝑏2−4𝑎𝑐 2𝑎 Kinematics v⃗ avg = ∆d⃗ ∆t = d⃗ f − d⃗ 𝑖 𝑡f − 𝑡𝑖 a⃗ avg = ∆v⃗ ∆t = 𝑣 f − 𝑣 𝑖 𝑡f − 𝑡𝑖 a⃗ g = 9.8 m s2 [𝑑𝑜𝑤𝑛] ∆𝑑 = (𝑣 f + 𝑣 𝑖) 2 ∆𝑡 𝑣 f = 𝑣 𝑖 + 𝑎 ∆𝑡 (𝑣 f) 2 = (𝑣 𝑖) 2 + 2a⃗ ∆d ∆d⃗ = 𝑣 𝑖∆t + 1 2 a⃗ (∆t)2 ∆d⃗ = 𝑣 f∆t − 1 2 a⃗ (∆t)2 Dynamics 𝐹 𝑛𝑒𝑡 = 𝑚a⃗ 𝐹 𝑔 = 𝑚g⃗ 𝐹𝑓 = 𝜇𝑓𝐹𝑁 Uniform Circular Motion 𝑎𝑐⃗⃗⃗⃗ = 𝑣2 𝑟 𝑎𝑐⃗⃗⃗⃗ = 4𝜋2𝑟𝑓2 𝑎𝑐⃗⃗⃗⃗ = 4𝜋2𝑟 𝑇2 𝑣 = 2 𝜋 𝑟 𝑇 ∑𝐹 = 𝑚𝑎𝑐⃗⃗⃗⃗ 𝐹𝑐 = 𝑚𝑣2 𝑟 Work & Energy 𝑊 = 𝐹 ∆𝑑 𝑐𝑜𝑠𝜃 W = E ∆𝐸𝑘 = 1 2 𝑚𝑣2 ∆𝐸𝑔 = 𝑚𝑔∆ℎ 𝑃 = 𝑊 ∆𝑡 𝐸𝑒 = 1 2 𝑘∆𝑥2 𝐹 𝑥 = 𝑘∆𝑥 𝑇 = 2𝜋√ 𝑚 𝑘 Momentum & Collisions ?⃑? = 𝑚?⃑? ∆𝑝 = 𝐹 ∆𝑡 𝑚1𝑣 𝑖1 + 𝑚2𝑣 𝑖2 = 𝑚1𝑣 𝑓1 + 𝑚2𝑣 𝑓2 1 2 𝑚1𝑣 𝑖1 2 + 1 2 𝑚2𝑣 𝑖2 2 = 1 2 𝑚1𝑣 𝑓1 2 + 1 2 𝑚2𝑣 𝑓2 2 𝑣 𝑓 = 𝑚1?⃗? 𝑖1+𝑚2?⃗? 𝑖2 𝑚1+𝑚2 𝑣 𝑓1 = ( 𝑚1−𝑚2 𝑚1+𝑚2 ) 𝑣 𝑖1 + ( 2𝑚2 𝑚1+𝑚2 ) 𝑣 𝑖2 𝑣 𝑓2 = ( 𝑚2−𝑚1 𝑚1+𝑚2 ) 𝑣 𝑖2 + ( 2𝑚1 𝑚1+𝑚2 ) 𝑣 𝑖1 𝑣 𝑓1 = ( 𝑚1−𝑚2 𝑚1+𝑚2 ) 𝑣 𝑖1 𝑣 𝑓2 = ( 2𝑚1 𝑚1+𝑚2 ) 𝑣 𝑖1