Answer:
The spring constant is 5.46N/m.
Explanation:
The period [tex]T[/tex] of the mass in SHM is related to the spring constant [tex]k[/tex] by the equation
[tex]T = 2\pi \sqrt{\dfrac{m}{k} },[/tex]
using this we solve for [tex]k[/tex] to get:
[tex]k = \dfrac{4\pi ^2m}{T^2}.[/tex]
For our case we put in [tex]m = 0.400kg[/tex] and [tex]T = 1.7s[/tex]:
[tex]k = \dfrac{4\pi ^2(0.400kg)}{(1.7s)^2}.[/tex]
[tex]\boxed{k = 5.46N/m}[/tex]
which is our spring constant.
