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Density word problem ... A 300 kg meterorite is in circular motion orbiting a far...by vipson231
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#1
Nov2812, 06:28 PM

P: 23

1. The problem statement, all variables and given/known data
So my professor gave me this formula GMplanet = (v^2 x d)/a to solve for the question and told me that m/v = density. I was told then to multiply the end result of m by 1000 and v by 1,000,000 to get the answer. I am given all the knowns except the acceleration. How do i find the acceleration? 


#2
Nov2812, 06:49 PM

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P: 11,614

Start by identifying your variables and assign any given values. It looks like you're using "v" for both velocity and volume. What's d? What's a?



#3
Nov2812, 06:57 PM

P: 23

I was told that the distance is equal to the radius which is equal to 2.00 x 10^8 and that the velocity is 7000 m/s for the faraway planet.
Once I plug these values into the formula it looks like (6.67 x 10^11)(Mass of planet)= (7000)^2 x (2.00 x 10^8) / a However what do i do with the a? so confused :( 


#4
Nov2812, 07:42 PM

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P: 11,614

Density word problem ... A 300 kg meterorite is in circular motion orbiting a far...
It's not clear to me what the formula you've written out is supposed to represent. Perhaps it's a misinterpretation of the formula for the orbital velocity for a body in circular orbit at orbit radius r around a planet of mass M? That would be: $$v^2 = \frac{GM}{r}$$ I don't know what your "d" or "a" are supposed to represent in this scenario. 


#5
Nov2812, 08:21 PM

P: 23

The formula that you provided for the orbital velocity above is indeed the right interpretation of the question. I perhaps either copied it wrong or didn't use the right formula. I'll try to solve this question using your formula. Thanks =)



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