1. The problem statement, all variables and given/known data A series of masses are hung from a vertical spring and the length is measured in each case to the nearest milimeter. Data below: Mass : Spring Length 050g : 40.2cm 100g : 45.8cm 150g : 50.9cm 200g : 56.4cm 250g : 61.4cm 300g : 66.9cm 350g : 73.7cm 400g : 81.2cm I need to find the spring constant. 2. Relevant equations F_{s} = k | l - l_{0}| , where F_{s} = Spring Force k = spring constant l = length of spring l_{0} = initial length of spring 3. The attempt at a solution I know that F_{s} = F_{g} = mass / 100 (using g = 10 N/kg). I just don't know how to get the constant because I don't know what the initial spring length is (it's not 0).
Think about the equation F = kX for a moment. What kind of graph does that make? What one of those letters represents the slope of that graph? Can you put those hints together to figure out a way to determine the spring constant?