W=12mv2−12mu2=Kf−Ki=ΔKcap W equals one-half m v squared minus one-half m u squared equals cap K sub f minus cap K sub i equals cap delta cap K Elastic Collision in One Dimension Consider two masses moving with initial velocities
The constant maximum velocity achieved by a sphere falling through a viscous fluid.At terminal equilibrium, upward buoyant force ( Fbcap F sub b ) plus viscous drag ( Fvcap F sub v ) perfectly balance the downward weight ( W=Fb+Fvcap W equals cap F sub b plus cap F sub v Using Stokes' Law ( ) for a sphere of radius , falling through a fluid of density
The work-energy theorem states that work done by a net force equals the change in kinetic energy ( Let a variable force act along the direction of motion: dW=F⋅dxspace d cap W equals cap F center dot d x By Newton's second law,
v=rg(μ+tanθ1−μtanθ)v equals the square root of r g of open paren the fraction with numerator mu plus tangent theta and denominator 1 minus mu tangent theta end-fraction close paren end-root Optimum speed (zero friction, Unit 3: Work, Energy, and Power 1. Work-Energy Theorem all important derivations of physics class 11 pdf download
Mastering Class 11 physics is a marathon, not a sprint. Use the chapter-wise list above as your checklist, implement the study tips, and use the free PDFs as your primary study tool for the most important derivations. Start with the topics you find most challenging, and you'll build a strong foundation for both your board exams and competitive entrance tests. You've got this!
g′=g(1−dR)space g prime equals g of open paren 1 minus the fraction with numerator d and denominator cap R end-fraction close paren 2. Escape Velocity (
): Distance covered horizontally during the entire time of flight. Start with the topics you find most challenging,
W=∫mdvdt⋅ds=∫m⋅dv(dsdt)=∫uvmv⋅dvcap W equals integral of m d v over d t end-fraction center dot d s equals integral of m center dot d v open paren d s over d t end-fraction close paren equals integral from u to v of m v center dot d v
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v=dsdt⟹ds=v⋅dtspace v equals d s over d t end-fraction ⟹ d s equals v center dot d t Substitute Escape Velocity ( ): Distance covered horizontally during
Derive the formulas for moment of inertia ( Acceleration due to Gravity ( ): Derive the variation of with altitude (height) and depth. Escape Velocity: Derive
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