A vertical scale on a spring balance reads from 0 to 165 N . The scale has a len
ID: 1467711 • Letter: A
Question
A vertical scale on a spring balance reads from 0 to 165 N . The scale has a length of 12.0 cm from the 0 to 165 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.35 Hz .
Part A
Ignoring the mass of the spring, what is the mass m of the fish?
Express your answer in kilograms.
m = ?????? kg
A vertical scale on a spring balance reads from 0 to 165 N . The scale has a length of 12.0 cm from the 0 to 165 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.35 Hz .
Part A
Ignoring the mass of the spring, what is the mass m of the fish?
Express your answer in kilograms.
Explanation / Answer
vertical scale on a spring balance reads from 0 to 165 N
length 12.0 cm
frequency 2.35 Hz .
By knowing the length and range of the scale, you can determine the spring constant.
k = 165N
k = 165N / 0.12 m
k = 1375 n/m
The frequency of a harmonic oscillator is:
f = (1/2pi)sqrt(k/M)
solve for m
k / (2*pi*f)^2 = M
(1375 Kg.m/s^2 /m) / (2* 3.14 * 2.35 /s)^2 = M
(1375 Kg.m/s^2 /m) / 217.79 = M
M = 6.31 kg