According to Hooke's Law the force needed to stretch or compress it will be directly proportional to the amount by which it lengthens or shortens. Mathematically, Hooke's Law is:
F = kx where F is the applied force, x is the change in the length of the spring due to the force and k is the spring constant.
If the spring obeys Hooke's law over the distance that it's being stretched then the spring constant...
According to Hooke's Law the force needed to stretch or compress it will be directly proportional to the amount by which it lengthens or shortens. Mathematically, Hooke's Law is:
F = kx where F is the applied force, x is the change in the length of the spring due to the force and k is the spring constant.
If the spring obeys Hooke's law over the distance that it's being stretched then the spring constant for this particular spring can be calculated as follows:
k = F/x, F = mg
k = (.2 kg)(9.8 m/s^2)/(0.1m) = 19.6 N/m
There's usally a point at which spring no longer obeys this relationship, for example if it's stretched to the point of deforming or if force continues to be applied after it's completely compressed. The best way to calculate the spring constant is by measuring and graphing mutiple data points. This method will show any outlying data points that might have resulted from over-stretching the spring.
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