You're right to notice that the gravitational force between two 1 kg objects is significantly smaller than the force between a 2 kg object and the Earth. Here's why:

Newton's Law of Universal Gravitation:

The force of gravity between two objects is determined by the following:

* Mass of the objects: The more massive the objects, the stronger the gravitational force.

* Distance between the objects: The closer the objects are, the stronger the gravitational force.

The Earth is Massive:

The Earth has a vastly larger mass than a 1 kg object. This means the gravitational force between a 2 kg object and the Earth is much greater than the force between two 1 kg objects.

Distance Matters:

While the Earth is massive, we are also standing on its surface. This means the distance between us and the Earth's center is relatively small. Even a slight increase in distance can significantly reduce the gravitational force.

In Summary:

The difference in gravitational force is primarily due to the Earth's immense mass. Even though the 2 kg object has a greater mass than one of the 1 kg objects, the Earth's mass is so dominant that it completely overshadows the other factors.

Let's illustrate:

Imagine you have a very strong magnet. If you hold a small paperclip near the magnet, it will be strongly attracted. But if you place the paperclip at a distance, the force will be much weaker. The Earth's gravitational pull is similar—it's incredibly strong when we're close, but it weakens significantly as we move farther away.