[SOLVED] What is the mass of the fish? You can ignore the mass of the spring.?

Question

What is the mass of the fish? You can ignore the mass of the spring.?

The scale of a spring balance reading from zero to 200 N is 12.5 cm long. A fish hanging from the bottom of the spring oscillates vertically at 2.60 Hz.

Answer 1

This is the Best answer for What is the mass of the fish? You can ignore the mass of the spring.?

The formula for the oscillation of a mass on a spring is T=2π√(m/k)

The relationship between frequency and period is T=1/f so the period is 1/2.60=0.3846 s.

From the information given, a force of 200N will stretch the spring by 0.125m.

That enables us to find the spring constant since k=F/x

k=200/0.125=1,600 N/m

Rearrange the formula

T=2π√(m/k)

T²=4π²m/k

m=kT²/4π²

m=_____________ kg

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Answer 2

i think this the correct answer for What is the mass of the fish? You can ignore the mass of the spring.?

Force constant=200/0.125=1600 N/m

Frequency= f =(1/2pi) sq rt [k/m]

squaring and simplifying,

mass = m = k /(2pi*f)^2

m=1600 /(2pi*2.6)^2=5.9953 kg

the mass of the fish is 5.9953 kg

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