The classical turning points of a harmonic oscillator occur at the displacements at which all of the energy is potential energy; that is, when Ev = 1/2kfxtp2. For a particle of mass mu undergoing harmonic motion with force constant kf = 1000 N m−1, calculate the energy of the state with v = 0 and hence find the separation between the classical turning points. Repeat the calculation for an oscillator with kf = 100 N m−1.

The classical turning points of a harmonic oscillator occur at the displacements at which all of the energy is potential energy; that is, when Ev = 1/2kfxtp2. For a particle of mass mu undergoing harmonic motion with force constant kf = 1000 N m−1, calculate the energy of the state with v = 0 and hence find the separation between the classical turning points. Repeat the calculation for an oscillator with kf = 100 N m−1.