Synchrotron Undulator In one portion of a synchrotron undulator, electrons traveling at 2.99 × 10 8 m/s enter a region of uniform magnetic field with a strength of 0.844 T. (a) What is the acceleration of an electron in this region? (b) The total power of X-rays emitted by these electrons is given by P = (1.07 × 10 −45 )a 2 W, where a is the acceleration in m/s 2 . What power is emitted by the electrons in this portion of the undulator?
Synchrotron Undulator In one portion of a synchrotron undulator, electrons traveling at 2.99 × 10 8 m/s enter a region of uniform magnetic field with a strength of 0.844 T. (a) What is the acceleration of an electron in this region? (b) The total power of X-rays emitted by these electrons is given by P = (1.07 × 10 −45 )a 2 W, where a is the acceleration in m/s 2 . What power is emitted by the electrons in this portion of the undulator?
Synchrotron Undulator In one portion of a synchrotron undulator, electrons traveling at 2.99 × 108 m/s enter a region of uniform magnetic field with a strength of 0.844 T. (a) What is the acceleration of an electron in this region? (b) The total power of X-rays emitted by these electrons is given by P = (1.07 × 10−45)a2 W, where a is the acceleration in m/s2. What power is emitted by the electrons in this portion of the undulator?
43. A mass må undergoes circular
motion of radius R on a hori-
zontal frictionless table, con-
nected by a massless string
through a hole in the table to
a second mass m² (Fig. 5.33).
If m₂ is stationary, find expres-
sions for (a) the string tension
and (b) the period of the circu-
lar motion.
m2
R
m₁
FIGURE 5.33 Problem 43
CH
70. A block is projected up an incline at angle 0. It returns to its initial
position with half its initial speed. Show that the coefficient of ki-
netic friction is μk = tano.
Passage Problems
A spiral is an ice-skating position in which the skater glides on one
foot with the other foot held above hip level. It's a required element
in women's singles figure-skating competition and is related to the
arabesque performed in ballet. Figure 5.40 shows Canadian skater
Kaetlyn Osmond executing a spiral during her medal-winning perfor-
mance at the 2018 Winter Olympics in Gangneung, South Korea.
77. From the photo, you can conclude
that the skater is
a. executing a turn to her left.
b. executing a turn to her right.
c. moving in a straight line out of
the page.
78. The net force on the skater
a. points to her left.
b. points to her right.
c. is zero.
79. If the skater were to execute the same
maneuver but at higher speed, the tilt
evident in the photo would be
a. less.
b. greater.
c. unchanged.
FIGURE 5.40 Passage
Problems 77-80
80. The tilt angle 0 that the skater's body
makes with the vertical is given ap-
proximately by 0 = tan¯¹(0.5). From this you can conclude…
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