Find the value of y. Did I do this problem correct?

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Homework Help Overview

The discussion revolves around a problem involving the calculation of a variable y, with a focus on unit analysis and dimensional consistency. Participants are examining the implications of unit conversions and the correctness of their mathematical manipulations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the handling of units throughout the problem, questioning the presence and conversion of units. There is an exploration of the mathematical steps taken, particularly regarding exponentiation and dimensional analysis.

Discussion Status

The discussion is active, with participants providing feedback on each other's reasoning and calculations. Some guidance has been offered regarding unit conversions and the correct application of mathematical operations, though no consensus has been reached on the final answer.

Contextual Notes

There is mention of converting to SI units for clarity, and participants are reflecting on the implications of their calculations and the units involved. The original poster expresses uncertainty about their answer and the appropriateness of sharing it.

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What happened to all the units in line 2?
 
After dividing x by a, you should have gotten rid of the units of mass so your final answer shouldn't have any.

I converted everything to SI units and went on from there, it makes everything easier in my opinion. I'm not sure if I did it right and I probably shouldn't post my answer but I think you should have units of length^(9/2)*time^(9/2) at the end.
 
I get
length2 * time-2

Did you raise each side to the power 3/2 instead of 2/3?
 
Yes, you're right, my mistake. Now I'm getting m2/s2 with SI units.
 

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