How is gravity 9.8 calculated?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
The value 9.8 m/s² is calculated using Newton's law of universal gravitation. When you apply the formula F = G(m₁m₂)/r² to Earth's mass (5.972 × 10²⁴ kg) and radius (approximately 6.371 × 10⁶ meters), then divide by the mass of the object (since F = mg), you get g = GM/r². Plugging in Earth's mass and radius gives approximately 9.8 m/s². This value represents how uickly objects accelerate toward Earth when falling freely, increasing their velocity by 9.8 meters per second for every second of fall.
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