Tyrannical said:
No, stopping power is determined by how much energy is transferred from the projectile to the target. It is affected by both the mass and velocity of the bullet, as well as to how it behaves when it strikes the target.
There is no consensus regarding energy transfer being responsible for stopping power. Please read the articles on stopping power, starting with wiki:
http://en.wikipedia.org/wiki/Stopping_power
Stopping power is a colloquial term used to describe the ability of a firearm or other weapon to cause a penetrating ballistic injury to a target, human or animal, sufficient to incapacitate the target where it stands.
This is the important point here. It is the ability of the bullet to "stop" the target.
If you read on, they mention energy transfer and a few other effects but make it clear that not everyone agrees on which is important and apply to stopping power. Energy transfer is only one hypothesis of stopping power and not well agreed upon.
For a start, momentum plays a far larger part than energy transfer when it comes to stopping something.
A 1kg bullet traveling at 100m/s has a KE of 0.5*1*100
2 = 5000J
A 10kg bullet traveling at 50m/s has a KE of 0.5*10*50
2 = 2500J
A 1kg bullet traveling at 100m/s has a momentum of 1*100 = 100kg*m/s
A 10kg bullet traveling at 50m/s has a momentum of 10*50 = 5000kg*m/s
Assuming it hits you square in the chest, the smaller object imparts twice the energy of the larger, but the momentum conservation is far more in favour of the large object. Think of the above example like tennis ball and bowling ball. A 100mph tennis ball to the leg will bounce off (hurt like hell but bounce off none the less). A 20mph bowling ball to the leg will knock you off your feet and also has the potential to break it.