1. What are Hooke’s law and simple harmonic motion, and how are they related?2. What is the physical significance of the spring constant of a spring? What does it tell you?3. How is the spring constant determined in this experiment?4. In the equation of motion for simple harmonic motion (Eq. TI 16.2), what physically determines A and T?5. How is the period of a mass oscillating on a spring related to the spring constant? (Express your answer mathematically and verbally.)

Since more than one question is asked, a solution for the first question is provided here. Please upload the remaining in another session.Hooke's law ; This is defined as when a strain is produced in a solid, this strain is directly proportional to the stress applied within the elastic limit of that particular material. This results in the development of restoring force in solid because it tends to restore the body back to its original form. Simple harmonic motion is the to and fro oscillatory motion about a mean position under a retarding force proportional to the displacement from an equilibrium position. This is similar to the restoring force developed in a solid when it is deformed. Force F = - k(∆x) here F is the restoring force, k is a constant ∆x is deformation.

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1. What are Hooke's law and simple harmonic motion, and how are they related?

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Question

1. What are Hooke’s law and simple harmonic motion, and how are they related?
2. What is the physical significance of the spring constant of a spring? What does it tell you?
3. How is the spring constant determined in this experiment?
4. In the equation of motion for simple harmonic motion (Eq. TI 16.2), what physically determines A and T?
5. How is the period of a mass oscillating on a spring related to the spring constant? (Express your answer mathematically and verbally.)

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