Final answer:
The spring constant is approximately 1934.18 N/m.
Step-by-step explanation:
To find the spring constant, we can use the formula:
f = (1/2π) * sqrt(k / m)
where f is the frequency, k is the spring constant, and m is the mass. Rearranging the formula to solve for k, we get:
k = (4π^2 * m * f^2)
Plugging in the given values:
k = (4 * 3.14^2 * 47.8 kg * (6.6 Hz)^2)
k ≈ 1934.18 N/m
Therefore, the spring constant is approximately 1934.18 N/m.