the earth exerts a force of 1.00 newtons on an object in free fall. what is the objects mass?

On or near the surface of the Earth, 1 newton is the weight of about 102 grams of mass.Note that the gravitational force between the object and the Earth is always the same.  It doesn't matter whether the object is falling, flying, floating, fluttering, rising, sinking, rolling, sliding, or just laying there. It doesn't change.