Practice question
Question
A 3.5 kg mass falls from 7 m onto a spring ( k = 1200 N/m ). What is the maximum compression? (Take g = 10 m/s² )
Explanation
Given:
A 3.5 kg mass falls from 7 m onto a spring ( k = 1200 N/m ). What is the maximum compression? (Take g = 10 m/s² )
These values define the system as per NCERT data.
Formula:
Potential energy mgh = 3.5 × 10 × 7 = 245 J.
This is standard NCERT relation.
Substitution & Calculation:
Spring energy 1/2 k x_m² = 245 Rightarrow 600 x_m² = 245 Rightarrow x_m = sqrt0.4083 approx 0.639 m .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
Discussion
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