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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

Respuesta :

Answer:

11.25 kg

Explanation:

We are given that

Force,F=235 N

Length,l=10 cm=[tex]10\times 10^{-2} m[/tex]

1m=100 cm

Frequency,f=2.3Hz

We have to find the mass m of the fish.

Spring constant,k=[tex]\frac{F}{l}=\frac{235}{10\times 10^{-2}}=2350N/m[/tex]

Mass of the fish=[tex]m=\frac{k}{4\pi^2f^2}[/tex]

Substitute the values

[tex]m=\frac{2350}{4\pi^2(2.3)^2}[/tex]

[tex]m=11.25 kg[/tex]

Hence, the mass of the fish=11.25 kg