Practice question

Given: A spring of k = 180 N/m has a 0.9 kg mass. If E = 0.9 J, what is the amplitude? These values define the system as per NCERT data. Formula: Total energy: E = 1/2 k A². This is the standard NCERT relation for this phenomenon. Substitution & Calculation: 0.9 = 0.5 × 180 × A² Rightarrow 0.9 = 90 A² Rightarrow A² = 0.01 Rightarrow A = 0.1 m . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.