Finding Acceleration of Gravity for Springs Without a Given K

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Luna413
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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[itex]\pi[/itex][itex]\sqrt{m/k}[/itex]

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?