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What is the relation between the acceleration due to gravity g and the universal gravitational constant G for the Earth of mass M and radius R?
Ag = GR² / M
Bg = GMR²
Cg = GM / R²
Dg = M / GR²
Answer & Solution
Correct answer: C. g = GM / R²
1. Weight by gravitation: F = GMm / R².
2. Weight by the second law: F = mg.
3. Equating, mg = GMm / R², and cancelling m gives g = GM / R².
_Source: Samacheer Kalvi (TN SCERT) Class 10 Science, Unit 1 "Laws of Motion", p.16_
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