You are making cookies that call for 3 tablespoons of molasses, but you are having trouble measuring out the thick, syrupy liqui
2 answers:
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Answer:
Part(a): The value of the spring constant is .
Part(b): The work done by the variable force that stretches the collagen is .
Explanation:
Part(a):
If '' be the force constant and if due the application of a force '
' on the collagen '
' be it's increase in length, then from Hook's law
Also, Young's modulus of a material is given by
where '' is the area of the material and '
' is the length.
Comparing equation () and (
) we can write
Here, we have to consider only the circular surface of the collagen as force is applied only perpendicular to this surface.
Substituting the given values in equation (), we have
Part(b):
We know the amount of work done () on the collagen is stored as a potential energy (
) within it. Now, the amount of work done by the variable force that stretches the collagen can be written as
Substituting all the values, we can write