Final answer:
The period of the oscillation is approximately 1.0035 seconds.
Step-by-step explanation:
To determine the period (T) of the oscillation, we can use the formula
T = 2π√(m/k),
where m is the mass and k is the spring constant.
Given the mass of 509g (0.509kg) and the spring constant of 20.0N/m, we can substitute these values into the formula:
T = 2π√(0.509 / 20.0)
= 2π√(0.02545)
≈ 2π * 0.1595 ≈ 1.0035s
Therefore, the period T is approximately 1.0035 seconds.