Understanding the Concepts

* Spring Constant (k): This represents the stiffness of the spring. A higher spring constant means a stiffer spring. In this case, k = 50 N/m.

* Period (T): The time it takes for one complete oscillation of the spring-mass system. We are given T = 2.00 s.

* Mass (m): This is what we need to find.

Formula

The period of oscillation for a spring-mass system is given by:

T = 2π√(m/k)

Solving for Mass (m)

1. Rearrange the formula to solve for mass (m):

m = (T² * k) / (4π²)

2. Substitute the given values:

m = (2.00 s² * 50 N/m) / (4π²)

3. Calculate:

m ≈ 2.53 kg

Answer

The mass that must be suspended from the spring to have a period of 2.00 seconds is approximately 2.53 kg.