When I took the mathematical equations (in excel) for muzzle energy and recoil, computed 5000 ft/lbs of energy for a 400 and 500 grain projectile in a 9 lbs rifle the recoil was 9 lbs more for the 500 grain bullet.

This was enlightening as intuitively one would think that the recoil would be equal for a specific ME.

Using this, I was able to play what-if with different bullet weights and velocities.