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27.35. Set Up:
The work done equals the change in kinetic energy:
For an electron
The kinetic energy
K
is the work
done to bring the electron from rest to speed
The nonrelativistic expression for kinetic energy is
Solve: (a)
(b)
(c)
To bring an electron from rest to a speed of 0.900
c
requires total work
This is the kinetic energy at a speed of 0.900
c
.
(i)
(ii) The nonrelativistic expression gives a ratio of
27.36. Set Up:
The nonrelativistic kinetic energy is
The relativistic kinetic energy is
Solve: (a)
and
(b)
The graphs of
and
are shown in Figures 27.36a and b. In both cases
K
is zero when
The nonrelativistic graph extends beyond
is the same as
at small
but becomes larger than
as
increases. As
As
increases without limit.
Figure 27.36
27.37. Set Up:
If an object has length
when it is at rest relative to the observer making the measurement, then
when it is moving at speed
u
its length along the direction of motion is measured by the observer to be
l
, where
For the markings on an empire ship to appear circular,
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.
 Spring '07
 Shoberg
 Energy, Kinetic Energy, Work

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