Answer:
The unknown mass is 3.87 kg.
Explanation:
Given;
spring constant of the spring, k = 13.6 N/m
period of oscillation, T = 3.35 s
The period of oscillation of the mass-spring system is given by;
[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]
where;
m is the mass attached to the spring
[tex]T = 2\pi \sqrt{\frac{m}{k} }\\\\\frac{T}{2\pi} = \sqrt{\frac{m}{k} }\\\\\frac{T^2}{4\pi^2}= \frac{m}{k}\\\\m = \frac{kT^2}{4\pi^2}\\\\m = \frac{(13.6)(3.35)^2}{4\pi^2}\\\\m = 3.87 \ kg[/tex]
Therefore, the unknown mass is 3.87 kg.
