They fall the same way on earth UNTIL AIR RESISTANCE BECOMES RELEVANT. Which for a feather, is pretty soon. But if you drop both from let’s say, 5millimeters onto a table, they will fall almost at the same speed. It’s just, with such a dense atmosphere, here on earth most things are slows down by air and the only way to overcome it is to have a big mass, therefore more force pulling the item to the floor. This extra force will help the hammer to win air resistance, for a while. But also a falling hammer will reach a speed at which air resistance will stabilize the fall, it’s called terminal velocity, the speed at which a specific object would stop accelerating because of air drag.
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