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The scale of a spring balance reading from 0 to 185 N hasa length of 11.5 cm. A

ID: 1753727 • Letter: T

Question

The scale of a spring balance reading from 0 to 185 N hasa length of 11.5 cm. A fish hanging from the bottom of thespring oscillates vertically at a frequency of 2.70 Hz. Ignoring the mass of the spring, what is themass m of the fish? The scale of a spring balance reading from 0 to 185 N hasa length of 11.5 cm. A fish hanging from the bottom of thespring oscillates vertically at a frequency of 2.70 Hz. Ignoring the mass of the spring, what is themass m of the fish? Ignoring the mass of the spring, what is themass m of the fish?

Explanation / Answer

the first part of the problem allows you to find the springconstant k: F=k*x 185=k*.115 k=1609 N/m now we know that the angular frequency is 2.7*2=16.96 rad/s,so the mass is found by: =(k/m) 16.96=(1609/m) m=5.59 kg.

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