In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?
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Question

In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?

G1 Physics · Accepted Answer

Step 1: Total energy E = ½kA². Step 2: At x = A/2, potential energy U = ½k(A/2)² = E/4. Step 3: Kinetic energy K = E − U = E − E/4 = 3E/4. Step 4: Therefore K/E = 3/4. Final answer: (D) 3/4.