Non-powered objects lose energy the moment they leave their propulsion source, in our case--bow and arrows. Very good explanation titansfan. In physics, the heavier an object is, the longer it takes for that object to lose momentum/speed. That is why, as titansfan pointed out, at 40 yards (an example) the two arrow speeds are further apart than they were out of the bows--the lighter arrow will have lost momemtum/speed at a faster rate than the heavier arrow, therefore the initial speed advantage it had is now gone and the kinetic energy winner goes to the heavier arrow because both arrows are the same speed, but not weight. Actually, the kinetic energy winner was always the heavier arrow in our example.