Answer to Question #215902 in Optics for Fahim

Question

A spring is hanging vertically from a fixed point and loaded with a mass of 500 g to its free end, which causes it to stretch by 20.0 cm from its initial length. What is the value of the spring constant?
(-/2.5 Points)

Answer 1

$\Delta x= 20 cm = 0.2m$

$m = 500g =0.5kg$

$g = 9.8\frac{m}{s^2}$

$\vec F=mg=0.5*9.8=4.9N$

$\vec F=k\Delta x$

$k=\frac{\vec F}{\Delta x}=\frac{4.9}{0.2}=24.5\frac{N}{m}$

$\text{Answer: }k=24.5\frac{N}{m}$