Formula Sheet: Work, Energy and Power Yashwant Parihar, April 26, 2026May 3, 2026 In this post, we will learn Class 11 Chapter 5 Work, Energy and Power formulas with the help of the Formula Sheet. We have compiled a complete Work, Energy, and Power formula sheet, covering everything from the Work-Energy Theorem and Potential Energy to Collisions and Power.Table of Contents Work, Energy and Power Formula Sheet1. Work Done2. Kinetic and Potential Energy3. Work-Energy Theorem4. Conservative vs. Non-Conservative Forces5. Power6. Collisions (1D and 2D)7. Vertical Circular Motion (The “Secret” Trick)Work, Energy and Power Formula Sheet1. Work DoneConstant Force:W=F.s=FsCosθW = F.s = FsCos\thetaVariable Force:W=∫x1x2F(x)dxW = \int_{x_1}^{x_2} F(x)dxWhere, W = Work, F = Force, s = DisplacementWork done by Gravity: W = ±mghWork done by a Spring:W=12k(xi2−xf2)W = \frac{1}{2}k(x_i^2 – x_f^2)2. Kinetic and Potential EnergyKinetic Energy:K=12mv2K=\frac{1}{2}mv^2Relation Between K.E. and Momentum(p):K=p22mK = \frac{p^2}{2m}Potential Energy:U=mghU = mghElastic Potential Energy:U=12kx2U = \frac{1}{2}kx^23. Work-Energy TheoremWork Done by all Forces:Δk=Kf−Ki\Delta{k} = K_f – K_i4. Conservative vs. Non-Conservative ForcesConservative Forces: Work depends only on initial and final positions (e.g., gravity, Electrostatic).F=−dUdxF = -\frac{dU}{dx}Non-Conservative Forces: Work depends on the path taken (e.g. Friction, Viscous Force).5. PowerAverage Power:Pavg=ΔWΔtP_{avg} = \frac{\Delta{W}}{\Delta{t}}Instantaneous Power:P=dWdt=F.v=FvcosθP = \frac{dW}{dt} = F.v = Fvcos\theta1 HorsePower = 746 Watts.6. Collisions (1D and 2D)Law of Conservation of Momentum:m1u1+m2u2=m1v1+m2v2m_1u_1 +m_2u_2 = m_1v_1 + m_2v_2Coefficient of Restitution:e=RelativeVelocityofSeprationRelativeVelocityofApproach=v2v1e = \frac {Relative\:Velocity\:of\:Sepration}{Relative\:Velocity\:of\:Approach} = \frac{v_2}{v_1}Elastic Collision: e = 1Inelastic Collision: 0 < e < 1Perfect Inelastic: e = 0Final Velocities in 1D Elastic Collision:v1=(m1−m2m1+m2)u1+(2m2m1+m2)u2v_1 = \left (\frac{m_1-m_2}{m_1+m_2} \right)u_1 + \left ( \frac{2m_2}{m_1 +m_2} \right)u_2v2=(m2−m1m1+m2)u2+(2m1m1+m2)u1v_2 = \left (\frac{m_2-m_1}{m_1+m_2} \right)u_2 + \left ( \frac{2m_1}{m_1 +m_2} \right)u_1Elastic Collision in 2D (Oblique Collision):Conservation of Momentum (x-axis):m1u1=m1v1cosθ1+m2v2cosθ2m_1u_1 = m_1v_1cos\theta_1 + m_2v_2cos\theta_2Conservation of Momentum (y-axis):0=m1v1sinθ1−m2v2sinθ20 = m_1v_1sin\theta_1 – m_2v_2sin\theta_2Conservation of Kinetic Energy:12m1u12=12m1v12+12m2v22\frac{1}2 m_1u_1^2 = \frac{1}2m_1v_1^2 + \frac{1}2 m_2 v_2^2Inelastic Collision: Common Velocity:v=m1u1+m2u2m1+m2v = \frac{m_1u_1 + m_2u_2}{m_1 + m_2}7. Vertical Circular Motion (The “Secret” Trick)For an object to complete a vertical cycle of radius R:Minimum velocity at Bottom:vmin=5gRv_{min} = \sqrt{5gR}Minimum velocity at top:vtop=3gRv_{top} = \sqrt{3gR} Formula Sheet Physics Formula Sheet Formula SheetPhysics Formula Sheet