The mass on the spring is 0.86 kg
Explanation:
The period of a mass-spring system is given by the equation
[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]
where
m is the mass
k is the spring constant
In this problem, we have:
k = 88.7 N/m is the spring constant
The system makes 15 oscillations in 9.24 s: therefore, the period of the system is
[tex]T=\frac{9.24}{15}=0.62 s[/tex]
Now we can re-arrange the first equation to solve for the mass:
[tex]m=k(\frac{T}{2\pi})^2=(88.7)(\frac{0.62}{2\pi})^2=0.86 kg[/tex]
Learn more about period:
brainly.com/question/5438962
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