1 Answer

Cfreear · Answer 1 · 2023-06-12T14:56:31+0000

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.

Step-by-step explanation:

The spring constant can be calculated by the formula

$\begin{gathered} T=2\pi\sqrt{(m)/(k)} \\ k=(4\pi^2m)/(T^2) \end{gathered}$

On substituting the values, the spring constant will be

$\begin{gathered} k=(4*(3.14)^2*9.1)/((7.4)^2) \\ =6.55\text{ N/m} \end{gathered}$

Thus, the spring constant is 6.55 N/m

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