I'm in an arguement with a friend of mine. He thinks that a trebuchet's maximum range is directly related to the mass of it's counter weight claiming that all the energy from the counterwiehgt would be transfered to the projectile. I think that it is logarithmicly related because the counterweight cannot accelerate past 9.8m/s/s; therefore, the projectile can only be launched at a maximum speed determined by the Height that the counterweight is dropped. We are argueing theoretically so we are removing friction and flex/damage to the trebuchet in the situation. I would appreciate input inorder to put the arguement to rest.