Question

What effect does Earth’s gravitational force have on objects of different masses?

Answer 1

It's different for different objects.

Explanation:

The gravitational force between two objects is "directly proportional to the product of their masses" and "inversely proportional to the square of the distance between their centers".
`FpropM*m`
`Fprop(1/r^2)`

So the force of gravity between Earth and other objects of different masses is different. Since this force is always attractive, it's principal effect is to pull that object towards itself.