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Question:

What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface?

Solution:

Given : Mass of earth M = 6 × 10²⁴ kg
Mass of object m = 1 kg
Radius of earth R = 6.4 × 10⁶ m
Force of gravitation between them, F = GMm/R²
F = 6.67 × 10⁻¹¹ × (6 × 10²⁴) × 1 / (6.4 × 10⁶)²
F = 9.77 N