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Solve for the spring constant in the equation of simple harmonic motion (SHM) in electrostatics.

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Final answer:

The spring constant in the equation of simple harmonic motion (SHM) in electrostatics can be found using the equation k = -mω^2, where k is the spring constant, m is the mass of the object, and ω is the angular frequency. The spring constant represents the stiffness of the spring and determines how quickly the object oscillates in SHM.

Step-by-step explanation:

The spring constant in the equation of simple harmonic motion (SHM) in electrostatics can be found using the equation:

k = -mω^2

where:

  • k is the spring constant
  • m is the mass of the object
  • ω is the angular frequency

The spring constant represents the stiffness of the spring and determines how quickly the object oscillates in SHM. A higher spring constant means a stiffer spring and a faster oscillation, while a lower spring constant means a more flexible spring and a slower oscillation.

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