Understanding the Concepts

* Frequency (f): The number of oscillations (complete cycles) per second, measured in Hertz (Hz).

* Spring Constant (k): A measure of the stiffness of a spring. It's the force required to stretch or compress the spring by one unit of length.

* Mass (m): The amount of matter in the system.

Formula

The relationship between frequency (f), mass (m), and spring constant (k) is given by:

f = (1 / 2π) * √(k / m)

Solving for k

1. Rearrange the formula to solve for k:

k = (2πf)² * m

2. Convert mass to kilograms:

4g = 0.004 kg

3. Plug in the values:

k = (2π * 5 Hz)² * 0.004 kg

4. Calculate:

k ≈ 3.95 N/m

Therefore, the force constant of the spring is approximately 3.95 N/m.