A:Answer We don't have Mohawk, but we do have a throw rug with an extremely deep pile on one of our hardwood floors. After using a new corded pet Dyson on a section until no more dirt came out, I then ran a cordless Hoover on it (I think ours is the hoover 3.0). The cordless Hoover immediately pulled out more dirt.
Both vacuums have the automatic height adjustment, but Dyson doesn't plan for air flow like Hoover does. (You need air flowing to carry the dirt away).
Not sure if this helps, but don't let Dyson's hefty price tag fool you into thinking their overall engineering is better than Hoover.