Solving Problem with Units: Max Elastic Potential Energy

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The discussion focuses on calculating the maximum elastic potential energy of a molecule using a specific equation. The provided equation yields a result of 4.79*10^-12 m, but there is confusion regarding the unit conversions, particularly how to derive meters from Joules and Newtons. Participants analyze the relationships between the units, breaking down the components of Joules and Newtons to clarify the calculations. The conversation highlights the importance of understanding unit dimensions in physics problems. Ultimately, the participants aim to resolve the unit discrepancies to confirm the accuracy of the solution.
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Homework Statement


In a problem to determine the maximum elastic potential energy of a molecule, I have the following equation:

A= \sqrt{\frac{6.626*10^-34 Js}{2\pi}}\times(\frac{1}{(1.14*10^-26kg)(1.85*10^3N/m})^(1/4)

Homework Equations




The Attempt at a Solution



The answer is 4.79*10^-12 m

I have tried to coax the definition of the Joule and Newton units to come out with an answer in meter; however I do not see how this can be made to work.

Thank you for your kind assistance

jg370
 
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(J*s)1/2 = kg1/2*m*s-1/2

(N/m)-1/4 = kg-1/4*m-1/4*s1/2*m1/4

And there hiding in the denominator - the extra kg-1/4

As they say in poker "Pot's right."
 
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