Answer: The period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m is 5.73 sec.
Step-by-step explanation:
Given: Mass = 5 kg
Spring constant = 6 N/m
Formula used to calculate period is as follows.
![T = 2 \pi \sqrt(m)/(k)](https://img.qammunity.org/2022/formulas/physics/college/q2ay3gul2w7lfswbr8qe0e0qvq5pietwev.png)
where,
T = period
m = mass
k = spring constant
Substitute the values into above formula as follows.
![T = 2 \pi \sqrt(m)/(k)\\= 2 * 3.14 * \sqrt(5)/(6)\\= 5.73 s](https://img.qammunity.org/2022/formulas/physics/college/1p6slm2hd7pser4perflmyiq2rl2s2qwjj.png)
Thus, we can conclude that the period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m is 5.73 sec.