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

Answer: 557nm
Explanation:
Visible light has been known to have its wavelengths in the range between 400 to 700 nanometres (nm), or 4*10^-7 to 7*10^-7 m. This wavelength is between infrared and ultraviolet. Infrared has longer wavelengths and while on the other hand ultraviolet has shorter wavelengths. The wavelength of visible light has a frequency of approximately 430 to 750 terahertz (THz).
tanΦ= 0.0039/4 = 9.75*10^-4
Φ= tan^-1 (9.75*10^-4)
Φ= 0.056
λ= (5.7*10^-4) * sin 0.056
λ= 5.57*10^-7m
λ= 557nm
<em>Choice-C</em> is the right one.
-- The bolt didn't react to the magnet, and just laid there. That tells you that the bolt was made of a non-magnetic material.
-- The bolt didn't float. It went straight to the bottom. That tells you that it's more dense than the fluid around it.
Answer: Melting, evaporation and sublimation.