Explanation:
Given that,
Spring constant of the spring, k = 17 N/m
It is then pulled down 4.00 cm and released, A = 4 cm = 0.04 m
The ball makes 35.0 oscillations in 18.0 seconds.
The time required to complete one oscillation is :
[tex]T=\dfrac{18}{35}=0.514\ s[/tex]
Angular velocity,
[tex]\omega=\dfrac{2\pi }{T}\\\\\omega=\dfrac{2\pi }{0.514}\\\\\omega=12.22\ rad/s[/tex]
(1) The relation between spring constant, angular velocity and mass is given by :
[tex]\omega^2=\dfrac{k}{m}\\\\m=\dfrac{k}{\omega^2}\\\\m=\dfrac{17}{(12.22)^2}\\\\m=0.11\ kg[/tex]
(2) The maximum speed is given by :
[tex]v=A\omega\\\\v=0.04\times 12.22\\\\v=0.49\ m/s[/tex]
