# Problem: The scale of a spring balance reading from 0 to 245N has a length of 10.0cm. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.20Hz.Ignoring the mass of the spring, what is the mass (m) of the fish?

###### FREE Expert Solution

Hooke's law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{k}}{\mathbf{x}}}$

Frequency of an oscillating spring:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}\mathbf{\pi }}\sqrt{\frac{\mathbf{k}}{\mathbf{m}}}}$

From Hooke's law:

x = 10.0 cm(1m/100cm) = 0.1 m

F = 245 N

k = F/x = 245/0.1 = 2450 N/m

###### Problem Details

The scale of a spring balance reading from 0 to 245N has a length of 10.0cm. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.20Hz.

Ignoring the mass of the spring, what is the mass (m) of the fish?