Finding the Spring Constant for a Mass on a Spring System

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To find the spring constant for a mass-spring system, Hooke's Law is applied, where the total mass of 100g (45g hanger and spring plus 55g added mass) leads to a calculated spring constant of 4.49 N/m when the spring stretches 12 cm. The mass of the spring itself is not considered in this calculation, as the stretch is measured from the equilibrium position. For the period of oscillation with all masses attached, only the added mass of 55g is used in the formula T=2π√(m/k). There is some confusion regarding whether to include the spring's mass in the period calculation, but it is clarified that only the additional mass should be considered. Understanding these principles is crucial for accurate laboratory experiments.
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Homework Statement


A mass attached to a holder hangs from a spring. the combined mass of the hanger, spring, and mass=45g. Adding mass of 55g stretches the spring 12cm. What is the spring constant?


Homework Equations


Hooke's Law
F=kx


The Attempt at a Solution


(m1+m2)g/x=k
(.045kg+.055kg)9.8m/s^2/m = k
but this isn't right, I don't think.

I'm not sure what I'm missing, but it seems that I don't have all the information correctly utilized. Hooke's law, though, is the only thing I could think to use with the given information and based upon what we need to find.
any help would be greatly appreciated, as I need this information for my laboratory experiment.
 
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The mass of the spring do not need to be used as stretching with 55g stretches from the equilibrium state (the equilibrium state holes the 45g from the spring and system)
 
inutard said:
The mass of the spring do not need to be used as stretching with 55g stretches from the equilibrium state (the equilibrium state holes the 45g from the spring and system)

okay, so the mass of the spring etc. isn't used, and mg/x=K=4.49N/m.
then to find the period of oscillation when ALL masses are attached, T=2pi[sqroot(m/k)].
now when it says all the masses are attached, would you still not include the spring? I'm confused because it says something about having the spring adjusted 1/3 or something for its mass.

thanks,
Justin
 
Your work looks right. The mass for the period should be 55g.
 
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