Answer:
Mass of fish=6.252 kg
Explanation:
Force F=0 N to 250 N
Length x=15.0 cm=0.15 m
Frequency f=2.60 Hz
To find
Mass of fish m
Solution
First we need to find spring constant
[tex]k=Force/distance\\k=F/x\\k=250/0.15\\k=1666.7 N/m[/tex]
As we know that the time period is given as
[tex]T=2\pi\sqrt{\frac{m}{k} }\\ And\\f_{Frequency} =1/T\\So\\1/f=2\pi\sqrt{\frac{m}{k} }\\1/f^{2}=4\pi^{2}\frac{m}{k}\\ k/f^{2}=4\pi^{2}m\\m=\frac{k}{4\pi^{2}f^{2} } \\m=\frac{1666.7}{4\pi^{2} (2.60)^{2} }\\ m=6.252kg[/tex]
