Answer:
3.53 s
Step-by-step explanation:
From the question given above, the following data were obtained:
Force (F) = 125 N
Spring constant (K) = 39.6 N/m
Period (T) =?
Next, we shall determine the mass of the object. This can be obtained as follow:
Force (F) = 125 N
Acceleration due to gravity (g) = 10 m/s²
Mass (m) =?
F = m × g
125 = m × 10
Divide both side by 10
m = 125 / 10
m = 12.5 Kg
Finally, we shall determine the period of vibration. This can be obtained as follow:
Mass (m) = 12.5 Kg
Spring constant (K) = 39.6 N/m
Pi (π) = 3.14
Period (T) =?
T = 2π√(m/K)
T = 2 × 3.14 × √(12.5/39.6)
T = 6.28 × √(12.5/39.6)
T = 3.53 s
Thus, the period of vibration is 3.53 s