Answer: 0.1 m.
- A 0.1 m
- B 0.05 m
- C 0.15 m
- D 0.2 m
Correct answer: A. 0.1 m
Explanation: Total E = (1/2)kx_0² + (1/2)mv_0² = (1/2)(200)(0.05)² + (1/2)(2)(1)² = 0.25 + 1 = 1.25 J. E = (1/2)kA² → A = √(2E/k) = √(2.5/200) = √(0.0125) ≈ 0.112 m.
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.