A mass on a spring vibrates in simple harmonic motion at a frequency of 4.4 Hz and an amplitude of 8.6 cm.If the mass of the object is 0.4 kg,what is the spring constant?

A) 11 N/m
B) 764 N/m
C) 306 N/m
D) 36 N/m
E) 657 N/m

Question

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.4 Hz and an amplitude of 8.6 cm.If the mass of the object is 0.4 kg,what is the spring constant?
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A) 11 N/m
B) 764 N/m
C) 306 N/m
D) 36 N/m
E) ​657 N/m

Quizplus · Accepted Answer

The spring constant k can be found using the formula for the frequency of simple harmonic motion: f = (1/2π)√(k/m). Rearranging for k gives k = (2πf)² * m. Substituting f = 4.4 Hz and m = 0.4 kg, we get k ≈ 306 N/m.

A Mass on a Spring Vibrates in Simple Harmonic Motion