The potential energy of a simple harmonic oscillator, when the particle is half way to its end point, is:
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The potential energy of a simple harmonic oscillator, when the particle is half way to its end point, is:

G1 Physics · Accepted Answer

Step 1: Total energy E = ½kA², where A is amplitude. Step 2: Half way from the mean position to an endpoint means |x| = A/2. Step 3: Potential energy U = ½k(A/2)² = ½kA²/4 = E/4. Final answer: (C) E/4.