A vertical scale on a spring balance reads from 0 to 150N . The scale has a leng

Question

A vertical scale on a spring balance reads from 0 to 150N . The scale has a length of 15.0cm from the 0 to 150N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.15Hz .<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

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A vertical scale on a spring balance reads from 0 to 150N . The scale has a length of 15.0cm from the 0 to 150N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.15Hz. Ignoring the mass of the spring, what is the mass m m of the fish?

Explanation / Answer

k of the spring = F/s = 150/0.15 = 1000 N/m

T = 2pi*sqrt(m/k)

f = 1/T = 1/2pi*sqrt(k/m)

f^2*4pi^2 = k/m

m = k/(f^2*4pi^2)

m = 1000/(2.15^2*4pi^2)

m = 5.48 kg

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