Question 1050919: A physics student hangs a spring 2 meters above the floor, then attaches weights to it and measures the height of the weight from the floor. After careful experimentation the student determines a function that predicts the height of the weight about the floor, h in m, as a function of the mass attached, m in kg:
h=g(m)=2-1/5 m
a. The student only used masses between 0 kg and 1 kg. Over what domain and range can this function be trusted?
b. Determine the inverse function g^-1 (m)
c. State the domain and range of g^-1.
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
Physicists believe that lengthening of a spring is linear function of the applied force (of the weight in this case)
if the lengthening is up to 2% - 3% (maximum 5% ?) of the spring initial length.
Above that, the lengthening is not a linear function.
But in your problem the length of the spring is not given.
Therefore, I don't know how to give the answer.
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