Kinetic Energy Puns

I'm reading Taylor's Mechanics. I'm on the kinetic energy of rotating rigid bodies. I just saw them use T for what I think is rotational kinetic energy.

What?

First of all, T is also temperature and period. Not to mention little t, which is time. Secondly, I've always seen kinetic energy referred to as K, E_k or KE. Can't you just use K_rot? I saw something like that in every other physics book I've read thus far.

Does T actually represent kinetic energy here?

Why YSK: The dangers of speeding are worse than you might expect, and, on the same note, your odds at surviving a crash increase greatly at lower speeds.

This is because kinetic energy is proportional to velocity^2 . So, when you double your speed, you quadruple your kinetic energy.

When your car speeds up, it converts chemical energy (in the gas or battery) to kinetic energy. The car and your body gain kinetic energy. All that energy needs to go somewhere, be it heat (from braking) or permanent deformation of the body.

Generally, you want that deformation to be in the car, and not in you, and you want to slow down gradually.

Here's an example table that you can compare values with:

E.g. If you're on the highway, going 70mph instead of 85mph cuts your kinetic energy by about 1/3rd.

Of course, how you crash will impact how severe the crash is too, and at very high speeds, it's less a question of if you will "survive" and more "how fine of a mist your body will become".

See: https://en.wikipedia.org/wiki/Kinetic_energy

I’m confused because functionally a lot of energy primaries look similar to kinetic primaries. Is the main difference lore (internal weapon mechanics) for these weapons? Let’s use auto rifles in the energy slot for example. Are these energy weapons—laser guns, basically? What makes them different from comparable weapons in the kinetic slot? I’m asking from a lore perspective, not a gameplay perspective.

I reasoned that N would just have to be 1, because with the sum of more than one mv^2/2 equaling a known constant, I can just play around with the velocities and find multiple combinations that work. The actual answer is N=2, and I suspect that this is because the velocity picked up by the 2 new masses is in some way related to the mass. Is my suspicion right?

So let's say a car is moving at 50m/s and has mass of 1000kg. Calculating kinetic energy is pretty simple:

0.5×1000×50^2 = 1,250,000 Joules

But let's say the same car is moving on Jupiter and assume Jupiter has a solid surface and no wind. The weight of the car would be many times increased. Thus, we would need a lot more energy than the previous value to move the car at the previous speed. But formula of kinetic energy involves mass, not weight. So this means 1,250,000 Joules is somehow still enough to move car at 50m/s. Why is that?

Besides that, kinetic energy and potential energy are related AFAIK. And potential energy is equal to mgh. And "g" is different on the other planets. So wouldn't this affect kinetic energy?

If a lightning bolt hits someone with said power, do they absorb it all and get away with harm or do they get electrocuted or burned?

Ie what's the loudest sound a human can make manually?

if you have 2 projectiles strike an object, one striking a target object at supersonic velocities, with the other object going at subsonic speeds, but with higher mass as to reach the same total kinetic energy on impact, how would the effects of impact differ? Would it be essentially be identical or would one result in more severe impact/damage to the target than the other?

e.g. a 1000g steel ball going 250m/s vs a 250g steel ball with a velocity of 500 m/s (at impact)

Could someone whose well-versed with Noether theorem help me scratch this mental itch?

1. Kinetic weapons

2. Percussive maintenance

...

Electro magnetic wave wavelength is 71pm, the electron is moving in a magnetic field, with a radius of 1m(Lorenz force=zentripetal force) I can't just use energy of the light because this is for a proof of the exit force of gold atoms.

You can use the Lorenz force to get a velocity, then plug it into E=1/2mv², but somehow the energy difference between the photon energy and the calculated energy of the electron is ≈1466eV using this method, while it should be about 5.1, am I missing something?

Additions: https://imgur.com/a/Vfeyd6i

Magnetic field strength is 1.88*10^-4 and it's homogenic

(disclaimer: I know that kinetic energy covers thermal/sonic, its about the level of precision a user has.)
aight

Ch. 2: technology pt. 4 Kinetic (movement/speed/etc) energy

In my magic system people have the ability to absorb and output different types of energy.

Each person gets a single input, something they can absorb or take away and store within their body for later use as their single output, something they can use in many different ways both as attacks, tools, transportation, crafting, and so much more. ( by absorbing a lot of your energy input you can achieve the same effects but for inputs.)

these inputs and outputs being: Thermal energy (Fire, heat, etc.), Sonic energy (sound, waves, vibrations, etc.), light energy (Electromagnetism), and Kinetic energy (Movement, speed, etc.).

base rules to keep in mind

- People are not immune to physics and can be harmed by their own I/O

-People can only create, not manipulate, their output

-people can absorb their input and store it semi-safely as a "neutral" energy (I say semi-safely because if somebody holds in too much they can harm themselves)

-people only have a certain level of mastery but both macro and micro scale abilities are possible (aka yes I know Sonic, Kinetic, and thermal are all the same just on different levels.)

The question I ask today is;
What technology or devices could be created for people who can absorb, store, and/or output and release kinetic energy?

Problems I'd like to think about are-
- tech to protect themselves or other users
things like kinetic absorbent armor, or special types of shielding, ways that buildings, weapons, etc would be created to defend against them and protect them. How would they work? would these be easy to create? etc.

.- tech to increase their power or precision of their I/O for battle
things like weapons that condense their firepower for large blasts or gusts of kinetic energy or give them access to new abilities that would be otherwise impossible to gain without the use of technology.

- tech to use thermal I/O for industrial or domestic purposes
How would a mining company or a farming company use this kinetic power to fuel and enhance their profits, what things would be created so that people could use their powers on a daily basis for simple tasks?

- tech to mimic advanced technology
Things like using the kinetic energy to create guns, cannons, ships, cars, etc. what modern tech could a kinetic output

I mean, it probably wouldn't be as good as regular thermonuclear weapons, since it has to be deployed from orbit. But say we lived in a world where all fissionable and fertile substances are gone. Say, for example, on a planet in a star system with low metallicity. Wouldn't this design allow us to still find a way to threaten ourselves with mass extinction?

I'm curious what the physics difference is between a hot, slow wind and a fast, cold wind

To me it seems like their particles have the same amount of kinetic energy, and yet they have different temperatures

I'm having a difficult time reconciling my understanding of kinetic energy being the square of the velocity with my understanding of frames of reference being arbitrary.

So given some frame of reference, say a spacestation traveling through a starless void at a speed signficantly less than the speed of light, a spaceship with mass of 1 Kg (guess it's a small ship) traveling at exactly the same speed (0) has 0 J energy of kinetic energy. If that ship speeds up to 1 m/s, it should now have 0.5 J of kinetic energy. Presumably this means that it fired its thruster for some length of time. Now if the spaceship doubles its speed, it's now going 2 m/s but its kinetic energy will have increased to 2 J. Did it need to 'expend' 3 times at much energy from it's thrusters to get to this speed?

Now I run into the problem that I thought frame of reference is arbirary. What if we instead start with the moving 1 m/s frame of reference? Does it take less fuel for the spaceship to change speeds if we change our frame of reference?

What am I missing here?

I was reading the books once again and stumbled over the data of the 20 big magnetic accelerator canons which were positioned around planet reach. They fire a 3000 ton projectile at around 120 000km/s. That equals 21 600 000 000 000 giga Joule of kinetic Energy. That equals 5.16 teratons of tnt, that again equals the amount of nuclear warheads on earth x~3500. The asteroid which is said to have caused a mass extinction 66 million years ago wielded around 100 teratons of tnt (https://en.m.wikipedia.org/wiki/Chicxulub_crater).

I tried to put these gigantic numbers in perspective, but it's quite hard tbh, but I'm quite sure it's enough to destroy a covenant supercarrier.

I know the US pursued a few ATGM programs that used pure kinetic force to kill the target rather than chemical energy in a HEAT warhead, such as LOSAT and CKEW. None of these came to fruition— I'm not really sure why other than that the missiles had a long minimum range to get up to speed. But why was this pursued in the first place? What advantage was KE thought to bring over HEAT?

I would be interested in info about non-US KE ATGM projects too.

The user has the power to take and give kinetic energy away. For example, say there's a car driving by. The user can take the kinetic energy from the car, store it in themselves, and run as fast as the car, plus there own speed. Or stop bullets in their tracks like Neo from the Matrix. Or even go on the offensive.

Also their body adapts accordingly to the potential energy inside their bodies but it does cause a strain on their bodies so they have to train their bodies, similar to Deku in My Hero Academia.

The user can also give away the energy to someone else, but their bodies don't adapt so it has to be a limited amount they can give unfortunately.

As an ultimate move they can take all the kinetic, potential, and mechanical energy in the surrounding area, say a quarter of a mile, put it into one part of their body, and release it in the form of a powerful punch or a kick. In a another ultimate move they can take all that same energy and make it explosive, like a shockwave or E.M.P. blast.