Finding spring constant with electron on end

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SUMMARY

The discussion focuses on calculating the spring constant (k) for a spring with an electron at its end, given the frequency of 4.9 x 1014 Hz and the mass of the electron at 9.11 x 10-31 g. The relevant equations include Hooke's Law (F = kx) and the relationship k = mg/x. The key insight is that the period can be derived from the frequency, which can then be used to find the displacement (x) necessary for calculating k, without needing to consider electrostatic forces.

PREREQUISITES
  • Understanding of Hooke's Law (F = kx)
  • Knowledge of simple harmonic motion (SHM) and its formulas
  • Ability to convert frequency to period
  • Familiarity with basic physics concepts involving mass and force
NEXT STEPS
  • Learn how to derive displacement (x) from frequency in simple harmonic motion
  • Study the implications of using different masses in spring constant calculations
  • Explore the relationship between force, mass, and acceleration in physics
  • Investigate the role of electrostatic forces in systems involving charged particles
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillations, as well as educators looking for examples of spring constant calculations involving subatomic particles.

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Homework Statement


Calculate the spring constant of a spring with an electron mass at itsend and the frequency 4.9X10^14 Hz. mass of electron: 9.11X10^-31 g


Homework Equations



F=kx
k=mg/x


The Attempt at a Solution


Since i know the frequency, i can get the period, but where i am stuck is how to turn the period into an x value that i can use to determine the value of k. should i be using coulomb's law for this?
 
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It's funny how they used an electron instead of any mass, but since there's no consideration of any electrostatic forces, you can just ignore the electron charge. Just plug in the SHM formula for period/frequency with the given info to find the spring constant.
 

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