Solution Found!
Solved: CP Longitudinal Waves on a Spring. A long spring
Chapter 16, Problem 84CP(choose chapter or problem)
CP Longitudinal Waves on a Spring. A long spring such as a SlinkyTM is often used to demonstrate longitudinal waves. (a) Show that if a spring that obeys Hooke's law has mass , length
, and force constant \(k^{\prime}\), the speed of longitudinal waves on the spring is \(v=L \sqrt{k^{\prime} / m}\). (see Section 16.2). (b) Evaluate
for a spring with \(m=0.250\) kg, \(L=2.00\) m, and \(k^{\prime}=1.50 \mathrm{~N} / \mathrm{m}\).
Equation Transcription:
Text Transcription:
Slinky^™
k’
v=L sqrt k’/m
m=0.250
L=2.00
k’=1.50 N/m
Questions & Answers
QUESTION:
CP Longitudinal Waves on a Spring. A long spring such as a SlinkyTM is often used to demonstrate longitudinal waves. (a) Show that if a spring that obeys Hooke's law has mass , length
, and force constant \(k^{\prime}\), the speed of longitudinal waves on the spring is \(v=L \sqrt{k^{\prime} / m}\). (see Section 16.2). (b) Evaluate
for a spring with \(m=0.250\) kg, \(L=2.00\) m, and \(k^{\prime}=1.50 \mathrm{~N} / \mathrm{m}\).
Equation Transcription:
Text Transcription:
Slinky^™
k’
v=L sqrt k’/m
m=0.250
L=2.00
k’=1.50 N/m
ANSWER:
Solution 84CP
Step 1
The speed of wave, in general, is given by
