Math algerbra | Mathematics | Page 1

agile nexusBOT Nov 30, 2025, 5:54 AM

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tulip barn Nov 30, 2025, 5:56 AM

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The force of the gravtiational attraction between two bodies is directly proportional to the square of the distance between them. If the distance between two bodies is triples and the mass of each is doubled, what happens to the force of gravitaional attraction between them?

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IF YOU SOLVE THIS UR A GENIUS
!!

balmy knot Nov 30, 2025, 6:01 AM

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what have you tried

tulip barn Nov 30, 2025, 6:02 AM

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yes ofc

balmy knot Nov 30, 2025, 6:03 AM

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I don't think that's a yes or no question

tulip barn Nov 30, 2025, 6:03 AM

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i tried

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its a proportianlity question

balmy knot Nov 30, 2025, 6:03 AM

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I asked what you have tried, not whether you have tried anything.

tulip barn Nov 30, 2025, 6:03 AM

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where inverse proportion is that x time y is always going to have a constant answer

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no i dont know where to start so i need help

balmy knot Nov 30, 2025, 6:05 AM

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do you know the effect of the mass of the bodies on the gravitational force between them?

tulip barn Nov 30, 2025, 6:06 AM

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no

balmy knot Nov 30, 2025, 6:06 AM

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if I tell you that the gravitational force between two bodies is directly proportional to the mass of each body, can you do it?

tulip barn Nov 30, 2025, 6:07 AM

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no see

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like i dont understand how the inverse / direct proportion is realted

balmy knot Nov 30, 2025, 6:07 AM

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wait wait I just noticed something

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the first sentence of this question is wrong as written

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show the original question

tulip barn Nov 30, 2025, 6:08 AM

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this is the original question

balmy knot Nov 30, 2025, 6:08 AM

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a picture of the question, please.

tulip barn Nov 30, 2025, 6:09 AM

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wait let me check

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do you have the art of problem solving by Richard Rusczyk?

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its on chapter 7 and the question is 7.3.3 starred

balmy knot Nov 30, 2025, 6:10 AM

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no

tulip barn Nov 30, 2025, 6:10 AM

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im on pc so i cant send photo

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but im super sure thats the quetion

balmy knot Nov 30, 2025, 6:11 AM

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then the question makes zero sense as written

tulip barn Nov 30, 2025, 6:11 AM

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i checked rn the book is in front of me

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wait no

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i made a mistake

balmy knot Nov 30, 2025, 6:11 AM

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the gravitational force between two objects is definitely not directly prop. to the sq. of the distance between them

tulip barn Nov 30, 2025, 6:11 AM

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The force of the gravtiational attraction between two bodies is directly proportional to the mass of each body and inversely proportional to the square of the distance between them. If the distance between two bodies is triples and the mass of each is doubled, what happens to the force of gravitaional attraction between them?

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there

balmy knot Nov 30, 2025, 6:11 AM

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THERE we go

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this is why a picture works best

tulip barn Nov 30, 2025, 6:12 AM

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but my stupid pc cant take pictures sully

balmy knot Nov 30, 2025, 6:12 AM

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anyway, what do you know about direct and inverse proportionalities?

tulip barn Nov 30, 2025, 6:12 AM

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ik that inversely proportional mean that the product of xy is constant

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and that direct porportional mean that the quotient of x/y is constant

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in other words, x/y = k for some constant of k

balmy knot Nov 30, 2025, 6:13 AM

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good way to think about it

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but more importantly, say two variables are in direct proportion

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if I double one variable, what happens to the other one?

tulip barn Nov 30, 2025, 6:14 AM

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?

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could you word it differently?

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oh

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wait

balmy knot Nov 30, 2025, 6:14 AM

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say x and y are in direct proportion. if x is doubled, what happens to y?

tulip barn Nov 30, 2025, 6:14 AM

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y times 2x equals k

balmy knot Nov 30, 2025, 6:15 AM

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but my question is what happens to y.

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does it stay the same, or does it change? if it changes, how does it change?

tulip barn Nov 30, 2025, 6:15 AM

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it changes

balmy knot Nov 30, 2025, 6:15 AM

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how does it change?

tulip barn Nov 30, 2025, 6:16 AM

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y has to times 2

balmy knot Nov 30, 2025, 6:16 AM

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in other words, if we double x, y is also doubled. agreed?

subtle dew Nov 30, 2025, 6:17 AM

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i know y'all r going thru this one but idk if it's been stated that the equation for force of gravitational attraction is
F = Gm1m2/r^2

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knowing it helps understand the proportionalities

balmy knot Nov 30, 2025, 6:18 AM

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subtle dew i know y'all r going thru this one but idk if it's been stated that the equation...

I know the equation. but the question seems to test the knowledge of the concept of proportion. which is why I'm doing it this way

subtle dew Nov 30, 2025, 6:18 AM

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no fair enough!

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i love the way you're explaining this

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i just wanted to put it out there

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sorry if that was the punchline lol

balmy knot Nov 30, 2025, 6:18 AM

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I was planning to spring this equation at the end after we have assembled the full details from proportionality

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but the cat's out of the bag, so OP, you can take a look at that equation

subtle dew Nov 30, 2025, 6:19 AM

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sorry then

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i just think it gives intuition to go through the formula as a practice problem to help grasp proportionality

balmy knot Nov 30, 2025, 6:22 AM

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it's fine, I get your point

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though for all the good it does, OP is 404 atm

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for OP, once you come back, do take a look at the general equation Vortex showed.

dusk turtle Nov 30, 2025, 6:48 AM

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@balmy knot

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its simple

balmy knot Nov 30, 2025, 6:49 AM

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why are you tagging me?

dusk turtle Nov 30, 2025, 6:50 AM

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wait what ? the gravitational attractionj is directly properportional to the sqaure of the distance ?

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sorry @tulip barn

balmy knot Nov 30, 2025, 6:51 AM

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look at the correction further down below. it has alrd been addressed.

dusk turtle Nov 30, 2025, 6:52 AM

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yes

its not directly

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its indreictly proportoonalk

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to the square of the distance from their centres

balmy knot Nov 30, 2025, 6:52 AM

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inversely*

#Math algerbra