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436
Relativity
P39.2
(a)
vv v
TB
=+=
60 0
. ms
(b)
=−=
20 0
(c)
vvv
=+
=
+=
22
2
2
20
40
44 7
P39.3
The first observer watches some object accelerate under applied forces. Call the instantaneous
velocity of the object
v
1
. The second observer has constant velocity
v
21
relative to the first, and
measures the object to have velocity
212
1
=−
.
The second observer measures an acceleration of
a
vv
2
21
==
d
dt
d
dt
.
This is the same as that measured by the first observer. In this nonrelativistic case, they measure the
same forces as well. Thus, the second observer also confirms that
Fa
∑
=
m
.
P39.4
The laboratory observer notes Newton’s second law to hold:
11
=
m
(where the subscript 1 implies the measurement was made in the laboratory frame of reference). The
observer in the accelerating frame measures the acceleration of the mass as
aaa
′
(where the subscript 2 implies the measurement was made in the accelerating frame of reference,
and the primed acceleration term is the acceleration of the accelerated frame with respect to the
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics, Force

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