s=∫0tu⋅dt+∫0tat⋅dts equals integral from 0 to t of u center dot d t plus integral from 0 to t of a t center dot d t
h=2Tcosθrρgh equals the fraction with numerator 2 cap T cosine theta and denominator r rho g end-fraction Bernoulli's Theorem
According to the Work-Energy Theorem, the net work done equals the total change in mechanical energy:
Many creators provide direct Google Drive links to their "Handwritten Derivation PDF" in the descriptions of their one-shot derivation videos . all important derivations of physics class 11 pdf download
[v22]uv=a[s]0sopen bracket the fraction with numerator v squared and denominator 2 end-fraction close bracket sub u to the v-th power equals a open bracket s close bracket sub 0 to the s-th power
v=Tμv equals the square root of the fraction with numerator cap T and denominator mu end-fraction end-root Comprehensive Summary Table Unit / Chapter Derivation Topic Final Expression Trajectory of a Projectile Kinematics Horizontal Range Laws of Motion Maximum Velocity on Banked Road Work & Energy Potential Energy of a Spring Gravitation Escape Velocity Properties of Fluids Ascent Formula (Capillary Rise) Properties of Fluids Terminal Velocity Thermodynamics Mayer's Formula Oscillations Simple Pendulum Time Period Complete PDF Reference Guide
dKdt=F⋅dxdtthe fraction with numerator d cap K and denominator d t end-fraction equals cap F center dot d x over d t end-fraction dK=F⋅dxd cap K equals cap F center dot d x Integrate both sides from the initial state (position , kinetic energy Kicap K sub i ) to the final state (position , kinetic energy Kfcap K sub f s=∫0tu⋅dt+∫0tat⋅dts equals integral from 0 to t of
Applying the law of conservation of linear momentum to find gun recoil. 3. Work, Energy, and Power
τ⃗=î(yFz−zFy)+ĵ(zFx−xFz)+k̂(xFy−yFx)modified tau with right arrow above equals i hat open paren y cap F sub z minus z cap F sub y close paren plus j hat open paren z cap F sub x minus x cap F sub z close paren plus k hat open paren x cap F sub y minus y cap F sub x close paren The individual components of torque are: Kinematics of Rotational Motion
dQp=dU+dW=nCpdTd cap Q sub p equals d cap U plus d cap W equals n cap C sub p d cap T , at constant pressure Substitute into the constant pressure equation: all important derivations of physics class 11 pdf download
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