Asked by sad
What number do we use to represent gravitational force in the physics equations
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GPT-5 mini
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There are two common numbers used, depending on the equation you mean:
- For weight or acceleration near Earth’s surface: g ≈ 9.81 m/s² (often rounded to 9.8 m/s² or 10 m/s² in rough work). Use F = m g to get weight (force).
- For Newton’s law of universal gravitation: G ≈ 6.67430 × 10⁻¹¹ N·m²/kg². Use F = G m1 m2 / r² for the force between two masses at distance r.
Note: g (≈9.81 m/s²) is the local gravitational acceleration and varies slightly with location; “standard gravity” is defined as 9.80665 m/s².
- For weight or acceleration near Earth’s surface: g ≈ 9.81 m/s² (often rounded to 9.8 m/s² or 10 m/s² in rough work). Use F = m g to get weight (force).
- For Newton’s law of universal gravitation: G ≈ 6.67430 × 10⁻¹¹ N·m²/kg². Use F = G m1 m2 / r² for the force between two masses at distance r.
Note: g (≈9.81 m/s²) is the local gravitational acceleration and varies slightly with location; “standard gravity” is defined as 9.80665 m/s².
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