Physics, 03.10.2019 01:30, gioc3948

Let ρal represent the density of aluminum and ρfe that of iron. find the radius of a solid aluminum sphere that balances a solid iron sphere of radius rfe on an equal-arm balance. (use any variable or symbol stated above as necessary.)

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Because the balancing arm is equal, therefore the masses of the aluminum and iron spheres are equal.

Define
$r_{A}$ = radius of aluminum sphere
$r_{I}$ = radius of iron sphere
$\rho _{A}$ = density of aluminum
$\rho _{I}$ = density of iron

Therefore
$\frac{4 \pi }{3} r_{A}^{3} \rho _{A} = \frac{4 \pi }{3} r_{I}^{3} \rho _{I} \\\\ r_{A}^{3} = \frac{\rho _{I}}{\rho_{A}} r_{I}^{3} \\\\ r_{A} = r_{I} ( \frac{\rho _{I}}{\rho _{A}})^{1/3}$

$r_{A} = r_{I} ( \frac{\rho _{I}}{\rho _{A}} )^{1/3}$

answered: carmen69

The radius of a solid aluminum sphere that balances a solid iron sphere of radius rFe on an equal-arm balance

$r_{Al}~=~r_{Fe}\sqrt[3]{\frac{\rho.Fe}{\rho.Al} } }$

Further explanation

Density is the amount derived from mass and volume

density is the ratio of mass per unit volume

With the same mass, the volume of objects that have a high density will be smaller than objects with a smaller density

The unit of density can be expressed in g / cm³ or kg / m³

Density formula:

$\large{\boxed{\bold{\rho~=~\frac{m}{V} }}}$

ρ = density

m = mass

v = volume

A common example is the density of water 1 gr / cm³

the mass itself can be measured by the balance sheet, the arm balance

Known density of Al (aluminum) and Fe (iron)

Because both are spherical, the volume = $\frac{4}{3} .\pi .r^3$

the mass of the two metals is the same because the scales are equal

mass Al = mass of Fe

ρ. V Al = ρ.V Fe

$\rho.V_{Al}~=~\rho.V_{Fe}$

$\rho_{Al}.\frac{4}{3} \pi.r^3~=~\rho_{Fe}.\frac{4}{3} .r^3$

$r^3_{Al}~=~\frac{\rho_{Fe}.\frac{4}{3}.\pi.r_{Fe}^3 }{\rho_{Al}.\frac{4}{3} \pi }$

$r_{Al}~=~r_{Fe}\sqrt[3]{\frac{\rho.Fe}{\rho.Al} } }$

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Keywords: density, volume, mass, arm balance

Let ρal represent the density of aluminum and ρfe that of iron. find the radius of a solid aluminum

answered: Guest

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

answered: Guest

the earths atmosphere is made up of nitrogen and oxygen. solids can turn into gasses through a process called sublimation. sublimation is the transition of a substance directly from the solid to the gas phase, without passing through the intermediate liquid phase.

hope this : d