A vertical scale on a spring balance reads from 0 to 250 N . The scale has a length of 10.5 cm from the 0 to 250 N readi...
A vertical scale on a spring balance reads from 0 to 250 N . The scale has a length of 10.5 cm from the 0 to 250 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.75 Hz .
Ignoring the mass of the spring, what is the mass m of the fish?
Homework Answers
A = 10.5cm = 0.105m
F = 250N
From F = KA
=) K = F/A = 250/0.105 = 21428.57N/m
Now for fish , f = 2.75Hz
Also f = w/2.pai = 1/2.pai × √k/m
=) (2.pai.f)^2 = k/m
=) m = k/(2.pai.f)^2 = 21428.57/(2×3.143×2.75)^2 = 71.7kg
=) Mass of fish m = 71.7kg
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