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

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The discussion focuses on solving a problem for the value of y, with an emphasis on unit consistency in the calculations. One participant questions the disappearance of units in the solution, suggesting that the final answer should not lack units. Another participant mentions converting to SI units for clarity and expresses uncertainty about their own calculations. A correction is made regarding the exponent used in the calculations, leading to a revised unit outcome of m²/s². The conversation highlights the importance of maintaining proper units throughout mathematical problem-solving.
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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.
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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