bei48482_FM
Relativity 7 Time dilation t (1.3) Here is a reminder of what the symbols in Eq. (1.4) represent: t 0 time interval on clock a ...
8 Chapter One The Ultimate Speed Limit T he earth and the other planets of the solar system seem to be natural products of the e ...
Relativity 9 Albert Einstein (1879–1955), bitterly unhappy with the rigid discipline of the schools of his native Germany, went ...
10 Chapter One Although time is a relative quantity, not all the notions of time formed by every- day experience are incorrect. ...
Relativity 11 (^0) (1.4) where cspeed of sound speed of observer (for motion toward the source, for motion away from ...
12 Chapter One tclonger to reach him than the previous one. Hence the total time between the arrival of successive waves is T ...
Relativity 13 Example 1.2 A driver is caught going through a red light. The driver claims to the judge that the color she actual ...
14 Chapter One proportional to distance, which suggests that the entire universe is expanding (Fig. 1.8). This proportionality i ...
Relativity 15 Solution Since cand 0 c 0 , from Eq. (1.6) we have (^0) Here 0.204cand 0 500 nm, so 500 nm ...
16 Chapter One As found by an observer moving with the muon, the ground is L below it, which is a shorter distance than L 0. As ...
Relativity 17 h(10.4 km) 1 (0.998c)^2 c^2 0.66 km As we know, a muon traveling at 0.998cgoes this far in 2.2 s. The re ...
18 Chapter One Jane, a substitution that is perfectly acceptable because the processes of life—heartbeats, respiration, and so o ...
not been extended to him,because regardless of Jane’s 50-y wait, he has spent only 30 y on the roundtrip. The nonsymmetric aging ...
20 Chapter One is 10^39 times greater than the gravitational attraction between them. Thus even a small change in the character ...
Relativity 21 with charge invariance? The answer is that we must consider the entire circuit of which the conductor is a part. B ...
22 Chapter One 1.7 RELATIVISTIC MOMENTUM Redefining an important quantity In classical mechanics linear momentum pmvis a useful ...
Relativity 23 according to our previous results. Although observers in both frames see the same event, they disagree about the l ...
24 Chapter One From Eq. (1.11), VA If we use the classical definition of momentum, pmv, then in frame S pAmAVAmA pBmBVBm ...
Figure 1.14 shows how pvaries with cfor both mand m. When cis small, mand mare very nearly the same. (For 0.01c, the ...
Example 1.5 Find the acceleration of a particle of mass mand velocity vwhen it is acted upon by the con- stant force F,where Fis ...
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