Why would you need more brake force? and
Why would you need more moving force?
Let me start with basic mechanics here. You have a bar balancing on a pivot point with equal length on both sides and press down one side (primary) with 100 lb - the other side of the bar (secondary) would be able to move 100 lb.
If you would elongate the secondary side to double its original length the force of 100 lb on the primary side would result in only 50 lb at the tip of the secondary side.