The disk on the bottom has a rotational inertia of i0 and is spinning clockwise on a horizontal surface having negligible friction at an angular speed of 3ω0. the top disk is then dropped directly on top of the bottom disk. the top disk has a rotational inertia of i0 and was initially spinning counterclockwise at an angular speed of ω0. if the initial total kinetic energy of the two-disk system was e0, what will the kinetic energy of the system be once the objects reach a common angular speed?

  K = I₀ w₀²

Explanation:

This is a problem of conservation of angular momentum,

We take the counterclockwise turn as positive

Initial. Before the crash

       L₀ = -I₀ 3w₀ + I₀ w₀

Final. The two albums together

       = (I₀ + I₀) wf

The moment is preserved

      L₀ =  

      -I₀ 2w₀ = (2I₀)  

         = -w₀

Let's look for kinetic energy

       K = ½ I w²

initial

       K₀ = ½ I₀ (-3w₀)² + ½ I₀ w₀²

       K₀ = ½ I₀ w₀² (9-1)

       K₀ = 4 I₀ w₀² = E₀

Final

        K = ½ 2 I₀ (-w₀)²

         K = I₀ w₀²

quantum mechanics or quantum physics is physics of very small objects (particles) and physical entities.

quantum physics has some parallels to our macro world and some pretty unique ideas which theoretically and mathematically proven to be true even though we will never be able to access them because of our size.

there are many types of particles: subatomic, elementary etc.

subatomic means they are smaller than atom, elementary means they are at the very basis of everything.

subatomic particles are for eg. protons, neutrons but not electrons.

elementary particles are categorised into 3 groups by what they do.

these 3 groups are quarks, leptons and bosons.

light for example is a particle more precisely a photon a part of leptons.

proton (subatomic particle) is made out of 2 up quarks and 1 down quark each of these has a fractional charge like . (i crazy)

most famous scientist who contributed to this physics are:

the topic itself us understand a lot and will probably be vastly used in the future (quantum computers, understanding the big bang,

we also must not forget quantum effects like:

and there is more. but probably too much for this answer to be consistent due to my average understanding of this topic.

hope this you understand quantum mechanics a little more. i'm not an expert in the topic (so don't be like wth if you are an expert) but i'm very interested in it.

anyways quantum physics is a very hard topic (harder than physics (perhaps)) therefore searching for every information there is about it and learning it is unfortunately impossible (you can only specialise into 1 - 3 things or more (perhaps

have fun and i wish you luck!

r3t40

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y