Calculating Spring Constant for Horizontal Oscillation of a Mass

AI Thread Summary
To calculate the spring constant for a 2.5kg mass oscillating at a frequency of 1.0Hz, the relevant equation involves the relationship between period, mass, and spring constant. The attempt used the formula for the period of oscillation, rearranging it to solve for the spring constant k. The calculations led to an estimated spring constant of approximately 98.7 N/m. However, there is uncertainty about the application of the equation, suggesting a need for verification. Accurate determination of the spring constant is crucial for understanding the dynamics of the oscillating mass.
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Homework Statement


Consider a 2.5kg mass oscillating at the end of a spring, with the frequency of 1.0Hz. The motion of the mass extends through 0.04m.


Homework Equations


Determine the spring constant-




The Attempt at a Solution



I can't find the right equation to set up this problem appropriately. The closest thing I could muster up was:

period=t= 2pi\sqrt{}m/k
1=2pi\sqrt{}(2.5/k)
(1/2pi)=\sqrt{}(2.5/k)
(0.1592)(0.1592)=2.5/k
0.02533=k2.5
=98.6971(n/m)

-I'll bet good money I applied that equation wrong.
 
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That looks correct me.
 
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