Physics, 06.12.2019 06:31, lexizamora2

Planet a has mass 3m and radius r, while planet b has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is released halfway between the planets’ centers at point o. it is released from rest. ignore any motion of the planets

. - calculate the magnitude of the rock’s acceleration, in meters per second squared, for m = 7.3×1023 kg and r = 5.8×106 m.

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answered: clickbaitdxl

The magnitude of the rock's acceleration half-way between two planets is 1.086 m/s².

The given parameters;

mass of planet, A = 3Mradius of the planet A, = Rmass of planet B, = 4Mradius of planet B, = 2Rdistance between the two planets, r = 8R

The gravitational force half-way (4R) between the two planets is calculated from Newton's universal gravitational law as follows;

$F_g = \frac{Gm_Am_B}{r^2} \\\\F_g = \frac{G(3M\times 4M)}{(4R)^2} \\\\F_g = \frac{12GM^2}{16R^2} \\\\F_g = \frac{12 \times 6.67\times 10^{-11} \times (7.3\times 10^{23})^2}{16 (5.8\times 10^6)^2} \\\\F_g = 7.925 \times 10^{23} \ N$

The magnitude of the rock's acceleration is calculated from Newton's second law of motion as follows;

F = ma

$a = \frac{F}{m} \\\\a = \frac{7.925 \times 10^{23} }{7.3\times 10^{23}} \\\\a = 1.086 \ m/s^2$

Thus, the magnitude of the rock's acceleration is 1.086 m/s².

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answered: xthom001ow7go3

The acceleration of rock is $1.085 \;\rm m/s^{2}$ .

Given data:

The mass of planet A is, 3M.

The radius of planet A is, R.

The mass of planet B is, 4M.

The radius of planet B is, 2R.

The value of M is, $M=7.3 \times 10^{23} \;\rm kg$ .

The value of R is, $R = 5.8\times 10^{6} \:\rm m$ .

The gravitational force at halfway (4R) between the two planets is,

$F=\dfrac{G(3M)(4M)}{(4R)^{2}}\\F=\dfrac{G \times 12M^{2}}{16R^{2}}$

Here, G is the universal gravitational constant. Solving as,

$F=\dfrac{6.67 \times 10^{-11} \times 12 \times (7.3 \times 10^{23})^{2}}{16(5.8 \times10^{6})}\\F = 7.925 \times 10^{23} \;\rm N$

Now, the acceleration of rock is calculated as,

$F = Ma\\7.925 \times 10^{23} = 7.3 \times 10^{23} \times a\\a = 1.085 \;\rm m/s^{2}$

Thus, the acceleration of rock is $1.085 \;\rm m/s^{2}$ .

Learn more about the gravitational force here:

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answered: Guest

electromagnetic waves travel through space with vacuums. give me brainliest if right.

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