A 1 kg mass oscillates with SHM of amplitude 0.05 m and frequency 2 Hz. What is the total mechanical energy?
Correct answer: B. 0.158 J
- A. 0.079 J
- B. 0.158 J
- C. 0.316 J
- D. 0.474 J
Explanation
Total energy E = ½ k A². Angular frequency ω = 2πf = 2π × 2 = 4π rad/s. k = mω² = 1 × (4π)² ≈ 157.91 N/m. E = ½ × 157.91 × (0.05)² ≈ 0.158 J
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