Work Energy Theorem for Constant and Variable Force Yashwant Parihar, December 1, 2023March 1, 2025 The Post will give you knowledge about all the concepts of the Work-Energy Theorem for Constant and Variable Force Class 11th. Welcome to TheCScience, in this article you will learn about the Work-Energy Theorem and its Derivation. The Post gives you information in brief so you can easily revise for your examination. In the examination, the question will be asked in this form “State and prove work energy theorem for variable force”First, we will talk about what is a work-energy theorem. Then we will derive the formula for constant and variable force. So let’s talk about what work-energy theory is.Work Energy TheoremAccording to this theorem, Work done equals a change in Kinetic energy.W = Kf – KiNow, we have to prove this theorem by derivation so firstly we will solve it for constant force and then solve it for variable force.Note:- Variable Force is Important from an examination point of view. We have to solve the variable force by integration method. So practice the derivations.Derive Work Energy Theorem for Constant ForceWork = Force x DisplacementW = FxS / F = maW = masFrom 3rd equation of motionV² = U² + 2as2as = V² – U²as = V² – U²/2as = V²/2 – U²/2But as the value in W = masW = m(V²/2 – U²/2)Multiply m in bracketW = mV²/2 – mU²/2Arrange the half in firstW = 1/2mV² – 1/2mU²Kinetic energy Formula = 1/2mV²so W = Kf – KiHence, ProvedDerive Work Energy Theorem for Variable ForceW = masBoth Side Integration∫dw = ∫mads \ a = dv/dtw = mdv/dt.dsReplace s with vw = mds/dt.dv \ ds/dt = vw = ∫vdvw = m [v²/2] Integral v and uw = m [ v²/2 – u²/2]w = 1/2mv² – 1/2mu²w = Kf – KiHence, ProvedOther Physics Content Newton’s Three Laws of Motion – PhysicsJohannes Kepler’s Law of Planetary MotionClass 11 Physics Chapter 1 Notes on Unit and MeasurementBernoulli’s Theorem Statement and its DerivationParallelogram Law of Vector Edition and its Derivation Class 11 Physics Work Energy Theorem class 11PhysicsWork-Energy Theorem