Practice question
Question
A spring system has m = 3 kg, k = 1200 N/m, A = 5 cm . What is the potential energy at x = 2.5 cm ?
Explanation
Given:
A spring system has m = 3 kg, k = 1200 N/m, A = 5 cm . What is the potential energy at x = 2.5 cm ?
These values define the system as per NCERT data.
Formula:
Potential energy: U = 1/2 k x².
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
k = 1200 N/m, x = 0.025 m . U = 0.5 × 1200 × (0.025)² = 0.5 × 1200 × 0.000625 = 0.375 J .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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