The Formula:
The acceleration due to gravity is calculated using the following formula:
g = G * M / R²
Where:
* g is the acceleration due to gravity (m/s²)
* G is the gravitational constant (6.674 × 10⁻¹¹ N m²/kg²)
* M is the mass of the celestial body (e.g., Earth) (kg)
* R is the distance from the center of the celestial body to the object (m)
Explanation:
* Gravitational Constant (G): This is a universal constant that determines the strength of the gravitational force between any two objects.
* Mass of the Celestial Body (M): The larger the mass of the celestial body, the stronger its gravitational pull.
* Distance from the Center (R): The closer an object is to the center of the celestial body, the stronger the gravitational force.
Example:
To find the acceleration due to gravity on the surface of Earth, you would use:
* G = 6.674 × 10⁻¹¹ N m²/kg²
* M = 5.972 × 10²⁴ kg (mass of Earth)
* R = 6.371 × 10⁶ m (radius of Earth)
Therefore, the acceleration due to gravity on Earth is approximately 9.81 m/s².
Key Point: You cannot find "g" only from "G." You need to know the mass of the celestial body and the distance from its center.
