Sheesh guys-- everybody is blowing this waaay out of proportion.
Momentum

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[/align]This article is about momentum in physics. For other uses, see Momentum (disambiguation).
[/align]In classical mechanics, momentum (pl. momenta; SI unit kg m/s, or, equivalently, N·s) is the product of the mass and velocity of an object.

The most important bit is below

Momentum is a conserved quantity, meaning that the total momentum of any closed system (one not affected by external forces) cannot change.

Momemtum is what is behind arrow penetration, the game animal is the outside 'force' that stops the arrow. Momentum is the product of mass x wieght. they are EQUAL factors

350 fps x 6/70 lb (600 grain) arrow = 30 (units)(forgive my sin of using lbs o physics majors, its a linear relationship and this is just to prove a point!)

600 fps x 3.5/70 lb (350 grain) arrow = 30..(the exact same).....uh oh.........

Can light arrows get the job done? yep. Do they resist that 'force' trying to stop them as well? NO NO NO ALL else being equal which it rairly is...for instance, lighter arrows have smaller diameters which means less surface area, which can reduce drag, particulary in targets with no blood for 'greasing' it a bit.

[/align][/align]I am staying out of the FOC debate for obvious reasons[/align]