What do we call the gravitational force between the Earth and an object?

The gravitational force between the Earth and an object is called the object’s weight.

Explanation:

The gravitational force between the Earth and an object is called the object’s weight. This force arises due to Earth’s gravitational pull on the object’s mass and is given by the formula:

$$\text{Weight}=m\times g$$

where $m$ is the mass of the object and $g$ is the acceleration due to gravity (approximately 9.8 m/s² near Earth’s surface).