Momentum vs velocity

Which is more effective? A large, heavy projectile with a lot of momentum travelling slower or a small, light projectile with little momentum travelling quickly?

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Other urls found in this thread:

en.wikipedia.org/wiki/Momentum
en.wikipedia.org/wiki/Impact_depth
rathcoombe.net/sci-tech/ballistics/methods.html
en.wikipedia.org/wiki/Kinetic_energy
twitter.com/SFWRedditGifs

Two different applications:
The small projectile at high velocity will have high penetration where the large, slow projectile with high momentum will deliver a strong, crushing blow.

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Which one is better for stopping a man?

Well, a boulder flung from a trebuchet will probably "stop" a man more consistently than a .22 Eargesplitten Loudenboomer.

Shot placement is the best guarantee!

But also, while larger is better, larger is lower capacity too and any shots missed in a stressful situation have more meaning if you don't have that many bullets left.

High capacity 9 mm pistols are very good in this respect. In fact, high capacity anything is good.

Higher speed, exponentially higher energy

Unless you're Donkey Kong and you open-carry building demolition balls, definitely the former.

Formal what?

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the only hard-and-fast rule here is that higher velocity = better penetration. that's it. for everything else the answer is "it depends". Gun writers have been arguing about momentum vs. velocity vs. energy, etc, for decades and decades.

Bullet type is also hugely important. If a bullet fails to hold together long enough to hit the vitals, or if it icepicks and wastes its energy outside the target, then the rest of the numbers don't mean a damn thing.

Force = mass * velocity^2
You should be able to figure out the rest.

You'd think so, but it's not that simple. There's a reason why people have been arguing this shit for a century or more.

People even invented their own scales in an attempt to solve the problem, but even those aren't universally applicable. If you're an elephant hunter you can use the Taylor KO Index, but that doesn't really apply to other things.

There's also empirical data to look at, which is nice because it fucking destroys the theory that it's all about just one factor like velocity or energy.

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>Force = mass * velocity^2
That's not right.
Units of force are mass * length / (time^2)

Kinetic Energy = 1/2 * mass * velocity^2

Force = mass * change in velocity/change in time

Reasonably speaking the latter, and it really isn't a debate. Terminal effects increase drastically with velocity, the exact threshold depends on the magnitude of disruption caused by the projectile, but every projectile has a point where it'll stretch tissue too far and fast for it to handle resulting in radial wounding around the projectile path and notably improved effect on target. Flesh is considerably greater at handling increased magnitude of disruption(TSC) than it is at handling increased speed of disruption, making speed the more effective means of achieving this end per unit of increased recoil energy. For instance a .44 magnum load can produce as much or more stretching of tissue, deposit as much energy, while producing a considerably narrower wound with minimal radial tearing/hemorrhage compared to a 5.56 expanding/fragmenting round.

tl:dr within reasonable parameters and the topic at hand(bullets being used on people), speed is more effective.

>Force = mass * change in velocity/change in time

Agreed

Usually I see that second part "change in velocity/change in time" simplified as "Acceleration" though.

Force = Mass * Acceleration
F=ma

I'd argue for rifles; velocity is king not only for better terminal ballistics but also higher hit probability on fleeting targets. But for handguns mass is more important given limitations on how much propellant can practically be put in a sidearm cartridge and the much shorter ranges involved in defensive shooting.

>large, crushing blow
Bullets have a momentum around that of a light blow, the crushing comes from your insides getting blown up.

Momentum does determine how well a bullet will maintain its path through some medium between you and a target such as vegetation.

You don't get shot in the barrel so the bullet has stopped accelerating (negating drag) for some time before it hits you. The force you experience (which is pretty small because bullets don't weight much) is an impulse, which is dp/dt or p/∆t for a discretized approximation.

This

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If a bullet has too much velocity, doesn't hit an sure kill spot, and punches right through, then it is no where near as effective as a slower bullet that delivers most of its energy into the targets body.

The way the OP phrased the question seemed to be a comparison of violence techniques as opposed to bullet calibers.

Correct, but having high energy is only part of it. More important is how much of the projectiles energy is transferred into the target. A high velocity round could easily penetrate though a target only leaving a clean hole with minimum loss in velocity (IE: energy)

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Trebuchet. He he he.

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A high velocity round that will tumble or fragment.

Until we reach the autocannon/artillery range the momentum of any caliber is pretty negotiable though.

If there was a limit on how much force I could put out with a cartridge id rather have the fast and light ammo because it would be easier to hit a distant target than with slower and heavier ammo. Also carrying more powder is much easier than carrying more lead. Heavier and slower bullets do have some applications though, atm I can only think of one. If youre shooting through bushes a heavier bullet's path is less affected by anything in its way. Thats just my retard ape opinion.

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>thinking bullet decelerate as soon as they leave the barrel
Kek

>thinking that not accelerating and decelerating are the same thing

Bullets decelerate and accelerate inside the barrel and once they are out of the barrel they only decelerate.

That's the fakest gif I've ever seen

I think there is still some acceleration after leaving the barrel.

Well you've always got gravity pulling it down but forward acceleration from gas pressure gonna be minimal.

Flamethrower

>The small projectile at high velocity will have high penetration
Penetration derives from bullet weight and bullet construction. Velocity has zilch to do with it.

People are vulnerable to shock. Also, high vel rounds make huge nasty wounds. If you had to pick between a .45 LC and a .223 for defense, choose the latter... but I wouldn't want to be shot by either.

ITT: everyone parrots paul harrell

Speed kills.
But mass has its own appeal as well.

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Untrue

K=1/2mv2

total energy ≠ energy applied to target

>The small projectile at high velocity will have high penetration where the large, slow projectile with high momentum will deliver a strong, crushing blow.

If you're looking at identical projectiles, then you'll find that penetration scales linearly with the speed, not quadratically. ie it depends on the momentum, not the energy. An overall "light and fast vs slow and heavy" comparison is worthless, you have multiple independent variables there possibly pulling in different directions to different degrees, so the only possible answer is "it depends".

This is also something that must be remembered. Some amount of the bullet''s kinetic energy won't do anything to harm the target, it'll just be lost as harmless friction heat. How much exactly is damn near impossible to say, and so we can't calculate any simple expression for how much damage some amount of energy will actually do. But what we can say is that drag increases very quickly with the speed, meaning that the faster the bullet goes the less efficient it will be about using its energy to do damage.

need some projectiles with the ballistics of FMJ but with the expansion of hollow points

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>Penetration derives from bullet weight and bullet construction. Velocity has zilch to do with it.

Utter nonsense.

correct, mostly
K=1/2mv2
similer to the relationship of watts being volts x amps
weight alone is nothing, and velocity alone is nothing, only the two combined do you get
force

Better wording would be a sharp fast projectile would be prone to penetration vs a slower heavier projectile would be more pron to transfer more of its energy into the target

TL;DR: fast and small for armor piercing etc, and slow and heavy for un armored and close range

also something to be said about range, heavy and slow would have piss poor ballistic accuracy at range

TL;DR: TL;DR: shits way more complicated then mass vs speed

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That's pretty trivial, just cast them from an alloy that's 75 wt% lead, 12 wt% antimony, 7 wt% terbium and 12 vol% unicorn spunk.

is this a thing?

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>unicorn spunk

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>K=1/2mv2
Kinetic energy is not penetration, nor does penetration scale with the kinetic energy. If you want to wave around physics to "prove" your point then it helps to actually know some physics first.

>Kinetic energy is not penetration
again, not on its own no
penetration is a factor of "sharpness" of the projectile, the properties of the target AND kinetic energy

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On physics, there exist a thing called linear momentum, usually only called momentum. You calculate it by multiplying the velocity and mass.

P = v * m

Despite being far less well known than kinetic energy (far less widely taught in school for example), for most collisions it's often a far more important for what happens than the energy. This isn't just because nature is absolute about preserving momentum while kinetic energy can easily be transformed into other forms of energy, but also because a lot of behaviour simply depends on momentum rather than energy. For example if we take a bullet and increase the velocity by 10% then the omentum also goes up by 10%, while the energy goes up by 21%. The penetration will go up by 10% or slightly less, it won't go up by 21%.
So even in the best case scenario the connection is between penetration and momentum, not penetration and energy.

Stuff that might be good for you to read:
en.wikipedia.org/wiki/Momentum
en.wikipedia.org/wiki/Impact_depth
rathcoombe.net/sci-tech/ballistics/methods.html

>the connection is between penetration and momentum, not penetration and energy.
PROTIP: momentum is energy, specifically Kinetic energy, you look it up sometime:

en.wikipedia.org/wiki/Kinetic_energy

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Wow you guys must have had a lot of trouble with high school physics, huh? Assuming a fixed amount of powder propelling two different masses of bullet, the heavier of the two will have higher momentum than the light one, though they both have the same kinetic energy.

However, faster (lighter) bullets can have better ballistics and armor penetration so there's no simple answer. Just remember that the kinetic energy of your bullet depends solely on the amount of powder behind it (and a few silly things like friction that physicists get off on ignoring).

Think about it a little bit, tho:

1kg block moving at 2 m/s
2 kg • m/s momentum
4 joules of kinetic energy

4 kg block moving at 1 m/s
4 kg • m/s momentum
4 joules of kinetic energy

Same exact energy in both cases, but one has twice the momentum.

It's all about distributing energy on the target, which is why explosive tipped rounds should be used. This will help with armored targets as well.

Momentum isn't energy, it's the time integral of force. P=S(F • dt). Or F = dP/dt. That's the change in momentum with respect to time. This also leads to my favorite expression:
dtF = dP

PEOPLE THROWIN' AROUND FORCE, ENERGY, AND MOMENTUM LIKE THEY'RE ALL THE SAME THING GONNA GIVE ME A GODAM CORONARY.

I don't really understand terminal ballistics and I want to know why many people readily recommend .44 magnum as a bear round, but freak out when someone decides to use a ~20" AR. Wouldn't heavier loads easily penetrate through tissue and fragment regardless? I have been told multiple times that the round will literally stop in subcutaneous fat and not reach any vital organs, but no one has provided evidence.

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You're both right.
His is about conservation of momentum, yours is about angular momentum

*Yours is about power not force. Any work done over a time period is power

penetration is positively correlated with velocity, suck it fags

>Penetration derives from bullet weight and bullet construction. Velocity has zilch to do with it.

velocity may have little impact to the equation but in this context it does.

a 120gr 9mm projectile going at 900fps will penetrate skin and break bone while the same going at 9fps will do jack shit to denim and will not even break skin.

even super hot shooting airshit will embed 6gram pellets into your skin and chip teeth

Momentum is a more telling sign of penetration than energy. As related to guns, the easiest fastest way to measure momentum is through powerfactor (pf) which is a popular metric in competition.
pf=mass (in grain) * velocity (in fps) / 1000.
When you begin using momentum youll start noticing trends in ballistic gel when using pistol velocity cartridges but it's important to make accurate comparisons.
>different jhp models or of different weights expand at different rates affecting penetration
>different fragmenting bullets fragment at different rates into different sizes affecting penetration
>round nose fmj and truncated tumbles at different rates, sometimes not even consistent from shot to shot, affecting penetration because of the increased surface area and possible changes in direction
>different cartridges can be different widths and the greater surface area affects penetration negatively even if higher momentum/energy
>flat nose bullets that dont tumble or deform take out the extra variables so that it's just weight and speed
Flat nose fmj of the same diameter but higher momentum but possibly less energy penetrate deeper will be a trend.

As to why using a 5.56 rifle is bad for bear compared to a 44 mag:
Go watch a youtube video of a 5.56 fmj or soft point from a 20" and see how deep it penetrates gel versus a 44 mag shooting something like a heavy wadcutter. The 5.56 will fragment and lose its momentum not penetrating exceptionally far while the 44 mag holds together and keeps pushing through.

nigga u dumb

Effective at what?
Armor penetration favors speed. Stopping power favors mass until the speeds are stupidly high, then it doesn't matter.
Long distance will also favor speed. Quiet boys will obviously favor mass, as you can't go supersonic.
There is no universal solution, just the right tool for the job.

It was probably a school project

F=ma
If they have the same ratio of difference, product (F) will be the same. A 100g projectile going 500m/s^2 will have the same F (inertia) has a 500g projectile going 100m/s^2.

KE=1/2m*v^2
For terminal ballistics, assuming the projectile can transfer 100% of its energy, then a faster projectile with less mass is likely more energetic than a slower one with more mass.

A 80kg person standing on Earth has the inertia of F= 80kg*9.8m/s^2, so F= 784 N.

So you need 784 N of force transferred to move an 80kg person standing at sea level.

Someone better at physics correct me if I'm wrong.

Jow Forums becoming /sci/ is pretty damn great