Answer: 1/4 of original.
- A 1/4 of original
- B 1/2 of original
- C 2 times original
- D Same
Correct answer: A. 1/4 of original
Explanation: E = (1/2)kA². If A halves to A/2, E = (1/2)k(A/2)² = (1/4)(1/2)kA² = E/4. Energy drops to 1/4.
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.