Hook's Law: Mass & Streaching Value Calculation

AI Thread Summary
The discussion revolves around using Hook's Law and related formulas to calculate the mass attached to a spring with a known spring constant and frequency. The key formula mentioned is T = 1/f = 2π√(m/k), which relates the period of oscillation to mass and spring constant. Participants express confusion about whether to use this formula for frequency or if it pertains to Hook's Law for stretching. There is also a debate on whether gravitational acceleration (g) should factor into the calculations. Ultimately, the consensus is to solve for mass using the provided frequency and spring constant.
StaticShock
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What formula should I use for this question? I'm thinking hook's law, but It doesn't seem to fit.

A mass is attached to a spring that has a constant of 100 N/m. The mass vibrates with a frequency of 2 Hz.

I have to find the value of the mass and how far it streaches. I know I can use hook's law for the streaching part, but I am unsure of how to carry out this problem.
 
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T = \frac {1}{f} = 2 \pi \sqrt {\frac {m}{k}}
 
Are you sure that's the right one? I mean, it looks as if its finding period not frequency. So wouldn't it be F=1/t= 1/2 pi Sqroot k over m?
 
that's just the general equation. it's up to you to do the algebra that will give you the value that you want.
 
well based on some information I found, the square root of the mass over K is equal to the equation of L over g. If all things are reletive then, I should be able to switch it as i would when finding frequency.
 
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However, the second question may not have anything to do with hooke's law at all. It may just be F= 1 over 2pi Sqrt g over L

But I am unsure if g is to be used based on Earth's speed of gravity or if I am on the right track at all.
 
StaticShock said:
well based on some information I found, the square root of the mass over K is equal to the equation of L over g. If all things are reletive then, I should be able to switch it as i would when finding frequency.


why do you do this? the equation i gave you has frequency, mass, and the spring constant. you know two of these, so just solve for the mass.
 
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