Do objects of different mass fall at the same rate because of gravitational pull on the earth?

Question

I am clearly not a physicist, so apologies if this is (probably) trivial. I understand that objects of different mass, i.e.:

Box of mass 2 kilogram: Pull of Earth is 20 newton

Box of mass 4 kilogram: Pull of Earth is 40 newton

Will fall at the same rate because extra mass means extra force to set it into motion. But, let's say that these objects are falling to the earth. Does the extra mass require more force because it is also attracting the earth to it (as all things are, I presume), and therefore it is at a balance with the object of less mass?

Sorry if this question is unclear!

Comments

You are right. If the initial velocities are equal (zero, for example), then the objects will fall with the same rate. Read about Galileo experiments.