Practice question
Question
Two stones are dropped from a height of 200 m, with a 2.5 s interval. What is their separation when the second stone has fallen for 3 s ? (Take g = 10 m/s² )
Explanation
Given:
Two stones are dropped from a height of 200 m, with a 2.5 s interval. What is their separation when the second stone has fallen for 3 s ? (Take g = 10 m/s² )
These values define the system as per NCERT data.
Formula:
First stone (after 5.5 s): y_1 = 1/2 · 10 · (5.5)² = 151.25 m.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Second stone (after 3 s): y_2 = 1/2 · 10 · (3)² = 45 m . Separation = 200 - 151.25 - 45 = 3.75 m (but both falling, so 151.25 - 45 = 106.25 m ).
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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