jhingelshod
Explorer
And also very wrong.Doing some quick calculations...
There were 34 pistol balls to the pound for English Pistols. That means each one is about 0.029lbs or about 0.013kg.
The muzzle velocity of a musket is the closest approximation we have of acceleration... so let's just input that value whole instead of acceleration at 414m/s.
And that gives us... 5.9 Newtons of Force. That's pretty great!
Average weight of a Longsword was between 1 and 1.5kgs. Averaging it out, let's go for 1.25kgs. Let's compare them to Baseball Bats for ease of "Fast Speeds". The fastest swings of a bat are around 41mph or 21.4m/s. Let's put that in annnnd....
26.75 Newtons of Force.
Even with it's -vastly- lower speed (just over 1/20th!) the longsword imparts nearly five times as much force as the bullet does. Even dropping the sword's swing speed to 12.1m/s (about 20mph, the "Slower" swings of a bat) you wind up with 15 Newtons of Force which is still three times as much.
While I had a gut instinct that a heavier weight would impart more force just through simple mass, I didn't expect the force difference to be -this- drastic.
... That's -interesting-...
Force is mass x acceleration, not mass x velocity.
Force as you describe it, is not a useful metric when discussing damage. When I sit in my chair, my 75kg mass accelerating at 9.8ms^-2 under the effect of gravity puts a force of about 750N through my butt...
What causes damage is impulse* (change in momentum) over very short times causing huge forces to occur and catastrophic amounts of energy to be released over a short time, which is why cars are designed with crumple zones, and why climbing ropes are stretchy.
Lets say I run into a brick wall at 5ms^-1. It's pretty hard so I come to a halt in 0.05 seconds.
Before I hit the wall, my momentum is m x v = 75 x 5 = 375Ns. Afterwards is 0, so the impulse is 375Ns (meaning that 375N of force would be required to stop me in 1 second). Unfortunately for my teeth, I come to a halt in 0.05s meaning that I experience 375/0.05 = 7500N for 1/20 of a second, 10 times what my body normally experiences. This is what motor-racing commentators call a 10G impact.
Now put some padding on that wall. I still come to a halt, but now it takes 0.25s. Same change in momentum but now dividing by 0.25 gives a smaller force of 1500N...a 2G impact.
*yes, I know I'm ignoring things like pressure, cutting, penetration etc
