Finding Acceleration of Gravity for Springs Without a Given K

AI Thread Summary
To find the acceleration of gravity using a spring without a known spring constant (k), the user has gathered data on the period, mass, and displacement of an object on a spring. The period is 0.96 seconds, the mass is 100 grams, and the displacement is 45 cm. The user attempted to calculate the spring constant using the formula for the period of a mass-spring system but is struggling to connect the variables effectively. The main question raised is why the spring constant cannot be determined solely from the period and mass provided. Understanding the relationship between these variables is crucial for solving the problem of finding gravity.
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Finding Acceleration of Gravity for Springs Without a Given "K"

Homework Statement



What I need is to gather data for the period, displacement, and mass of a certain object put on a spring. Later, I was asked to find the gravity--however I wasn't given a spring constant and I'm left on my own. I haven't been able to successfully calculate a spring constant and acceleration of gravity (I've tried to do this since Monday). For example:

I have:
Period: .96s
Mass: 100g
Displacement: 45cm


Homework Equations



F=-kx

T=2\pi\sqrt{m/k}

The Attempt at a Solution



I thought I could solve for K using the Period of a Mass-Spring System equation (T=...), however, it seems I can't... so I'm a bit lost.
 
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What is "displacement"?

Why can't you find k given the period and the mass?
 

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