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27.4. Set Up:
The astronaut in the spaceship measures the proper time, since the end of a swing occurs at the same
location in his frame.
Solve: (a)
(b)
27.5. Set Up:
The instruments in the scram jet measure the proper time. The speed of sound is about
Solve:
and the time dilation effects are very small.
27.6. Set Up:
The average lifetime measured in the pion frame is the proper time;
Solve: (a)
gives
(b)
27.7. Set Up:
The proper time is measured in the frame where the two events occur at the same point.
Solve: (a)
The time of 12.0 ms measured by the first officer on the craft is the proper time.
(b)
gives
Reflect:
The observer at rest with respect to the searchlight measures a much shorter duration for the event.
27.8. Set Up:
The problem asks for
u
such that
Solve:
gives
Jet planes fly at less than ten times the speed of sound, less than about
Jet planes fly at much lower speeds
than we calculated for
u
.
27.9. Set Up:
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 Spring '07
 Shoberg

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