The period of a spring as a function of the mass and the spring constant is given by:
T = 2 * pi * root (m / k)
We clear the value of k:
root (m / k) = (T) / (2 * pi)
m / k = ((T) / (2 * pi)) ^ 2
k = m * ((2 * pi) / (T)) ^ 2
Substituting the values:
k = (0.400) * ((2 * (3.14)) / (0.367)) ^ 2
k = 117.1243383
three significant figures:
k = 117 N / m
Answer:
the value of the spring constant is:
k = 117 N / m
