Question

A vertical scale on a spring balance reads from 0 to 235 NN . The scale has a length of 10.0 cmcm from the 0 to 235 NN reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.30 HzHz . Part A Ignoring the mass of the spring, what is the mass mmm of the fish

Answer 1

11.25 kg

Step-by-step explanation:

We are given that

Force,F=235 N

Length,l=10 cm=
`10* 10^(-2) m`

1m=100 cm

Frequency,f=2.3Hz

We have to find the mass m of the fish.

Spring constant,k=
`(F)/(l)=(235)/(10* 10^(-2))=2350N/m`

Mass of the fish=
`m=(k)/(4\pi^2f^2)`

Substitute the values

`m=(2350)/(4\pi^2(2.3)^2)`

`m=11.25 kg`

Hence, the mass of the fish=11.25 kg