Practice question
Question
A body weighs 196 N on Earth’s surface. What is its weight at a depth d = R_E/3 ? ( g = 9.8 m/s² )
Explanation
Given:
A body weighs 196 N on Earth’s surface. What is its weight at a depth d = R_E/3 ? ( g = 9.8 m/s² )
These values define the system as per NCERT data.
Formula:
g(d) = g (1 - d/R_E).
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
d = R_E/3, g(d) = 9.8 (1 - 1/3) = 9.8 × 2/3 = 6.53 m/s² . Mass: m = 196/9.8 = 20 kg . Weight: W = 20 × 6.53 approx 130.6 N .
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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