When a 299 g mass is hung on a spring, the spring stretches by 16.5 cm. The mass

Question

When a 299 g mass is hung on a spring, the spring stretches by 16.5 cm.  The mass is then lifted to a displacement of 3.21 cm from the equilibrium and released.  Find the period of the harmonic oscillation of the mass on the spring in seconds (s). Enter your answer with 3 significant figures. When a 299 g mass is hung on a spring, the spring stretches by 16.5 cm.  The mass is then lifted to a displacement of 3.21 cm from the equilibrium and released.  Find the period of the harmonic oscillation of the mass on the spring in seconds (s). Enter your answer with 3 significant figures.

Explanation / Answer

F = k*x

m*g = k*x

k = m*g/x = 0.299*9.8/0.165 = 17.76 N/m

f = sqrt(k/m)2*pi

= sqrt(17.76/0.299)/6.28

= 1.227 Hz

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