Spring Calibration Data -> Need to figure out formula

mcdowellmg
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Spring Calibration Data --> Need to figure out formula

I feel like every time I post a problem here, I end up figuring it out. So, thanks for that! haha
 
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Another question. I am supposed to find the expected slope of a line that will help me realize that ac = rω2.

expected slope = –4*pi^2(µ/g)(Mg/k) =

I know that (Mg/k) = 5.3. I know that µ = 5. I am GUESSING that g = 9.8 or -9.8, but both of the answers 106.753 or -106.753 are not correct. I cannot figure this out, so thanks for any help!
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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