Answer: Half the total energy.
- A Half the total energy
- B Total energy
- C Zero
- D The total kinetic energy
Correct answer: A. Half the total energy
Explanation: Average PE = (1/2) × (1/2)kA² = Total E/2. Similarly, average KE = Total E/2. They are equal and each half the total energy.
In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.
Concept context
Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.