g = GM/r²

Where:

* g is the gravitational field intensity (measured in N/kg or m/s²)

* G is the universal gravitational constant (approximately 6.674 × 10⁻¹¹ N⋅m²/kg²)

* M is the mass of the object creating the gravitational field (in kg)

* r is the distance from the center of the object to the point where the field intensity is being measured (in meters)

Explanation:

* Gravitational field intensity is a vector quantity that represents the force of gravity per unit mass at a particular point in space.

* The formula indicates that the intensity is directly proportional to the mass of the object and inversely proportional to the square of the distance from the object's center.

Example:

To calculate the gravitational field intensity at the surface of the Earth, we can use the formula:

g = (6.674 × 10⁻¹¹ N⋅m²/kg²) * (5.972 × 10²⁴ kg) / (6.371 × 10⁶ m)²

g ≈ 9.81 m/s²

This means that the Earth's gravitational field pulls on an object with a force of 9.81 Newtons per kilogram of mass at its surface.