To find the force constant of the spring, we can use the formula for the period of vertical oscillation of a mass-spring system:
T = 2π√(m/k)
Where: T is the period of oscillation m is the mass attached to the spring k is the force constant of the spring
In this case, we are given: m = 7.00 kg T = 2.60 s
We can rearrange the formula to solve for k:
k = (4π²m) / T²
Substituting the given values:
k = (4π² * 7.00 kg) / (2.60 s)²
k ≈ 109.18 N/m
Therefore, the force constant of the spring is approximately 109.18 N/m.