1. Fish are hung on a spring scale to determine their mass. What is the force co
ID: 2030067 • Letter: 1
Question
1. Fish are hung on a spring scale to determine their mass. What is the force constant of the spring in such a scale if it the spring stretches 6.63 cm for a 6.9 kg load?
2. A car has two horns, one emitting a frequency of 197 Hz and the other emitting a frequency of 202 Hz. What beat frequency do they produce?
3. Two parakeets sit on a swing with their combined center of mass 8.4 cm below the pivot. At what frequency do they swing?
4. What is the maximum velocity of an 84.4 kg person bouncing on a bathroom scale having a force constant of 1.63×106 N/m, if the amplitude of the bounce is 0.19 cm?
Explanation / Answer
1) force constant k = F / x = (6.9 * 9.8) / 0.0663
= 1019.9 N/m
2) beat frequency = |f1 - f2| = |197 - 202|
= 5 Hz
3) frequency = 1 / (2 pi * sqrt [l/g])
= 1 / (2 pi * sqrt [0.084/9.8]) = 1.719 Hz
4) 1/2 m v2 = 1/2 k A2
v2 = 1.63 * 106 * (0.19 * 10-2)2 / 84.4
v = 0.264 m/s
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