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QA: A 2kg object is attached to a spring and placed on a horizontal smooth surface. A horizontal force of 20N is required to hold the object at rest when it is pulled 0.2m from its equilibrium position (the origin of the x axis). The object is now released from rest with an initial position of xi=0.2m, and it subsequently undergoes simple harmonic oscillations. Find the force constant of the spring.<--- This is the one I'm having problems with

you see, I use the 20N force, but made it NEGATIVE and made it equal to the force in the spring. Therefore Fs= -20N = -kx

x=0.2m so I isolate and solve for k.

Is this right? I get a value of 100N/m. I know how to solve all the other following qa but it's just the first one that's bothering me. Do I have the right idea or did I do something oh so horribly wrong. I would really appreciate it if someone could rid me of my anxieties. lol

Thank you very much for your time.