A linear harmonic oscillator has force constant 2×10⁶ N m⁻¹, amplitude 0.01 m and total mechanical energy 160 J. Find its maximum kinetic energy (J).
Physics · Simple Harmonic Motion
JEE Mains

Question

A linear harmonic oscillator has force constant 2×10⁶ N m⁻¹, amplitude 0.01 m and total mechanical energy 160 J. Find its maximum kinetic energy (J).

G1 Physics · Accepted Answer

For a harmonic oscillator, the oscillatory mechanical energy associated with amplitude A is (1/2)kA²=(1/2)(2×10⁶)(0.01)²=100 J. The quoted total 160 J can include a constant potential-energy offset; maximum kinetic energy of the oscillation is the oscillatory energy 100 J. Required answer: 100.