Total Energy In Simple Harmonic Motion — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Total Energy in Simple Harmonic Motion Valid for Simple Harmonic Motion where the restoring force obeys Hooke's Law (F = -kx) and the system is isolated (no damping or driving forces). Define Potential Energy U = integral(-F dx) = 0.5 k x 2. Define Kinetic Energy K = 0.5 m v 2. At maximum displacement (x = A), velocity (v) is zero. Therefore, Total Energy E = K min + U max = 0 + 0.5 k A 2. k > 0 A >= 0 Assumes conservation of energy (frictionless) Students often believe Total Energy varies with time like Kinetic and Potential energy do. Confusing the Force Constant (k) with Kinetic Energy notation. Thinking Total Energy is zero at the equilibrium position (only Potential Energy is zero there; Kinetic is max).