Physics, 23.03.2021 03:50 salehabajwa101

A 10.0-g bullet is fired into, and embeds itself in, a 1.95-kg block attached to a spring with a force constant of 23.9 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block and the block slides on a frictionless surface

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Answer from: cdfvghjk

0.43 m

Explanation:

Given

mass of bullet $m=10\ gm\approx 0.01\ kg$

mass of block $M=1.95\ kg$

The Force constant of spring is $k=23.9\ N/m$

Speed of bullet is $u=300\ m/s$

Conserving the energy i.e. kinetic energy of the bullet and box is converted into Elastic potential energy of spring

$\Rightarrow \dfrac{1}{2}(M+m)v^2=\dfrac{1}{2}kx^2$

Conserving linear momentum

$\Rightarrow mu=(M+m)v\\\\\Rightarrow v=\dfrac{mu}{M+m}$

Put the value of we get

$\Rightarrow x=mu\sqrt{\dfrac{1}{k(M+m)}}\\\Rightarrow x=0.01\times 300\sqrt{\dfrac{1}{23.9(0.01+1.95)}}\\\Rightarrow x=3\sqrt{\dfrac{1}{46.844}}=\dfrac{3}{6.844}=0.43\ m$

Thus, spring will be compressed to a distance of $0.43\ m$

Answer from: Quest

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 $\frac{1}{3}$ . (i crazy)

most famous scientist who contributed to this physics are:

max planckalbert einsteinerwin schrödingermany

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:

superposition (where 1 thing can be this and that at the same time),entanglement (where two particles are seemingly connected by some sort of unknown (or known) force, energy, matter (i know all that can be the same at least it was at the beginning)

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

Answer from: Quest

harry byrd declared organized resistance by southern states would prevent racial integration.

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A 10.0-g bullet is fired into, and embeds itself in, a 1.95-kg block attached to a spring with a for...

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