Suppose the setup in Figure 14.11 is \(10 \mathrm{~m}\) long.

(a) How long does it take a light signal to travel from source to detector?

(b) If the setup moves at \(20 \mathrm{~m} / \mathrm{s}\), how far does it travel in the time interval you calculated in part \(a\) ?

(c) By how much does the displacement of the detector shorten (or lengthen) the travel time of the light signals?

(d) Do you expect the time interval you calculated in part \(c\) to be measurable? ( \(e\) ) Repeat parts \(b-d\) for a detector moving at \(1.0 \times 10^{8} \mathrm{~m} / \mathrm{s}\).

Transcribed Image Text:

Figure 14.11 If the sources and the simultaneity detector move together at high speed relative to an observer, then (a) events that are simultaneous to the observer will not be so to the detector. (b) To make the signals strike the simultaneity detector at the same instant, the source behind the detector must emit its signal before the source in front of the detector. (a) Events are simultaneous to observer (b) Events are simultaneous to simultaneity detector event 1 Signals simultaneous to observer... M event 2 simultaneity detector event 1 M but not to detector........ Signals simultaneous to detector." Ca event 2