College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 5, Problem 4CQ
When you push a piece of chalk across a chalkboard, it sometimes screeches because it rapidly alternates between slipping and sticking to the board. Describe this process in more detail, in particular explaining how it is related to the fact that kinetic friction is less than static friction. (The same slip-grab process occurs when tires screech on pavement.)
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us
0.45
mi
ce
0.4
0.35
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0.25
0.2
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a0+ a1*cos(x*w) +
b1*sin(x*w)
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0.15
a0
0.1586
0.1551
0.1620
a1
0.0163
0.0115
0.0211
0.1
b1
0.0011
-0.0093
0.0115
W
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0.9880
1.1066
2
8
10
t
12
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20
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0.2671
Fit State Fit name
Data
Harmonic Motion x vs. t
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fourier1
R-square
0.13345
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DFE
0.26712
296
Adj R-sq
0.12467
RMSE
0.030041
# Coeff
Valic
R-square
0.1335
4
DFE
296.0000
Adj R-sq
0.1247
RMSE
0.0300
What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?
Let's assume that the brightness of a field-emission electron gun is given by
β
=
4iB
π² d²α²
a) Assuming a gun brightness of 5x108 A/(cm²sr), if we want to have an electron beam with a
semi-convergence angle of 5 milliradian and a probe current of 1 nA, What will be the
effective source size? (5 points)
b) For the same electron gun, plot the dependence of the probe current on the parameter
(dpa) for α = 2, 5, and 10 milliradian, respectively. Hint: use nm as the unit for the
electron probe size and display the three plots on the same graph. (10 points)
Chapter 5 Solutions
College Physics
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