The period of a mass-spring system is given by:
T = 2π√(m/k)
where T is the period, m is the mass, and k is the spring constant.
Rearranging this equation, we get:
k = (4π²m) / T²
Substituting the given values, we get:
k = (4π² * 0.6416 kg) / (0.52 s)²
k = 25.18 N/m
Therefore, the spring constant of the spring is 25.18 N/m.