This preview shows pages 1–2. Sign up to view the full content.
UAHuntsville
PH 113
Spring 2010
Homework Problem Set No. 2
Submission deadline: 2/1/2010
Problem 7
In lecture we derived the power transmitted by the kinetic energy of a taut string for the
transverse case.
(a) Find the power transmitted by the (elastic) potential energy.
(b)
Show that the sum of the momentary
powers (i.e., the sum of the kinetic energy
power and the potential energy power) is independent of space and time.
(c)
Show that the average
powers (either over a period or a wavelength) are equal.
Hint
: First write the change in potential energy on a mass element of the string because of
a restoring force
F
, and use Newton’s Second Law. Then, find the work done by that
force, and find how it is related to the change in potential energy. Lastly, find the time
rate of change of the string element’s potential energy.
Problem 8
A string of linear mass density
μ
1
is connected smoothly to a string of linear mass density
μ
2
. Find the refection and transmission amplitudes in terms of the mass densities, and
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '09
 LIORBURKO
 Physics, Energy, Kinetic Energy, Power, Work

Click to edit the document details