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Chapter 2: 28E (page 63)
The diagram shows Bob's view of the passing of two identical spaceship. Anna's and his own, where . The length of either spaceship in its rest frame is . What are the readings on Anna', two unlabelled clocks?
The unlabelled readings from Anna鈥檚 clocks are and .
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Anna and Bob are In identical spaceships, each 100 m long. The diagram shows Bob's, view as Anna's ship passes at 0.8c. Just as the backs of the ships pass one another, both clocks.there read O. At the instant shown, Bob Jr., on board Bob's ship, is aligned with the very front of Anna's ship. He peers through a window in Anna's ship and looks at the clock. (a) In relation to his own ship, where is Bob Jr? (b) What does the clock he sees read?
The light from galaxy NGC 221 consists of a recognizable spectrum of wavelengths. However, all are shifted towards the shorter-wavelength end of the spectrum. In particular, the calcium 鈥渓ine鈥� ordinarily observed at is observed at . Is this galaxy moving toward or away from Earth? At what speed?
Bob is watching Anna fly by in her new high-speed plane, which Anna knows to be in length. As a greeting, Anna turns on two lights simultaneously, one at the front and one at the tail. According to Bob, the lights come apart.
(a) Which comes on first?
(b) How fast is the plane moving?
Anna is on a railroad flatcar moving at 0.6c relative to Bob. (Their clock's read 0 as Anna鈥檚 center of mass passes Bob's.) Anna鈥檚 arm is outstretched in the direction the flatcar moves, and in her hand in a flashbulb. According to the wristwatch on Anna's hand, the flashbulb goes off at 100 ns. The time of this event according to Bob differs by 27 ns. (a) Is it earlier or later than 100 ns? (b) How long is Anna's arm (i.e., from her hand to her center of mass.)?
A famous experiment detected 527 muons per hour at the top of Mt. Washington, New Hemisphere, elevation 1910 m . At sea level, the same equipment detected 395 muons per hour. A discriminator selected for muons whose speed was between 0.9950 c and 0.9954c . Given that the mean lifetime T of a muon in a frame in which it is at rest is and that in this frame the number of muons decays exponentially with time according to , show that the results obtained in the experiment are sensible.
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