The force constant of the spring is calculated as 0.57 N/cm.
What is Hooke’s law?
Hooke’s law states that the force that acts on an elastic substance is directly proportional to the extension as long as the elastic limit is not exceeded. We know that the statement of Hook’s law can only apply to an object when the object is still within the range of elasticity. If the object has reached the point where it has become plastic, that is, the object has completely lost all of its elasticity, then we could say that the Hook’s law can not hold in such an instance.
Mathematically, we could write;
F = Kx
F = force that causes the stretching of the object
K = the force constant
X = the extension.
We know that in the plot of the force against the extension, the slope is the force constant. Taking two points on the graph, it is possible to obtain the force constant as follows;
K = 2 – 0/3.5 – 0
K = 0.57 N/cm
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