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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
452 Classical Mechanics
PP P
E
c
µµ
µ
=−
2
2
2
.
Combining this with Equation 13.39, we arrive at the relationship
P
E
c
mc
2
2
2
0
22
−=
or
EP
cm
c
222
0
24
−=
. (13.40)
The total energy E and the momentum P
μ
of a moving body are different when measured with
respect to different reference frames. But the combination P
2
E
2
/c
2
has the same value for all
frames of reference, namely,
mc
0
22
. This relationship is very useful. Another very useful relationship
is
PvEc=
()
/
2
. From Equation 13.35, we see that γm
0
= E/c
2
; combining this with the rst equation
of Equation 13.36 gives the very useful relationship
Pv
Ec=
()
/
2
.
The relativistic momentum, however, is not quite ...
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Publisher Resources

ISBN: 9781466569980