Given:
The mass of spring is m = 9.1 kg.
The time period of spring is T = 7.4 s
To find the spring constant of spring.
Explanation:
The spring constant can be calculated by the formula
[tex]\begin{gathered} T=2\pi\sqrt{\frac{m}{k}} \\ k=\frac{4\pi^2m}{T^2} \end{gathered}[/tex]On substituting the values, the spring constant will be
[tex]\begin{gathered} k=\frac{4\times(3.14)^2\times9.1}{(7.4)^2} \\ =6.55\text{ N/m} \end{gathered}[/tex]Thus, the spring constant is 6.55 N/m
