The mass of the object is 0.0076 kg
Explanation:
The frequency of a mass-spring system (simple harmonic motion) is given by
[tex]f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}[/tex]
where
f is the frequency
k is the spring constant
m is the mass
For the mass-spring system in this problem, we know:
k = 30 N/m is the spring constant
f = 10 Hz is the frequency
Solving the equation for m, we find the mass:
[tex]m=\frac{k}{(2\pi f)^2}=\frac{30}{(2\pi (10))^2}=0.0076 kg[/tex]
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