Practice question
Question
A 1200 kg car moving at 15 m/s compresses a spring ( k = 8 × 10³N/m ). What is the maximum compression?
Explanation
Given:
A 1200 kg car moving at 15 m/s compresses a spring ( k = 8 × 10³N/m ). What is the maximum compression?
Formula:
Initial K = 1/2 × 1200 × 15² = 135000 J.
Substitution & Calculation:
Spring energy 1/2 k x_m² = 135000 Rightarrow 4000 x_m² = 135000 Rightarrow x_m = √33.75 approx 5.81 m .
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
Discussion
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