Practice question

**Energy in SHM** interconverts between kinetic K = ½ m v² = ½ m ω² (A² - x²) and potential U = ½ k x² = ½ m ω² x², total E = K + U = ½ k A² = ½ m ω² A² constant, independent of time. At mean position x=0, E = K_max = ½ m ω² A², at extremes x=±A, E = U_max = ½ k A². Maximum speed: vₘₐₓ = ω A . A = 9 m, ω = π s⁻¹ . vₘₐₓ = π × 9 ≈ 28.26 m/s . Applying x = A cos(ωt + φ), v =