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A vertical scale on a spring balance reads from 0 to 160 N . The scale has a length of 11.5 cm from the 0 to 160 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.95 Hz .

Respuesta :

Khoso123

Answer:

Mass of Fish=4.052 kg

Explanation:

I think you want to find mass of fish hanging

So

Given Data

F (Force)=160 N

l (length)=11.5 cm

f (frequency)=2.95 Hz

m (Mass of Fish)=?

Solution

first we have find Spring Constant

[tex]k=\frac{160}{11.5}*100\\ k=1391 \frac{N}{m}[/tex]

The Motion described by

[tex]Angular frequency=\sqrt{\frac{Spring Constant}{mass} }\\ w=\sqrt{\frac{k}{m} }\\  w^{2}=\frac{k}{m}\\  m=\frac{k}{w^{2} }\\  m=\frac{1391}{(2*(3.14)*f)^{2} }\\ m=\frac{1391}{(2*(3.14)*2.95)^{2} }\\ m=4.052kg[/tex]