In Figure 1a, a cosmonaut measures the time interval Ato between successive ticks of his clock. In Figure 1b, an earth-based observer measures a time interval At between ticks that is greater than Ato. The spaceship is moving past the earth at a constant speed v that is 0.90 times the speed of light. In other words, v= 0.90c. The cosmonaut measures the time interval between successive "ticks" of the spaceship clock to be Ato = 1.0 s. Determine the time interval At measured by the earth-based observer.

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Figure 1
Ato
-L
S
At
(a)
(b)
T
S
D
-L-
Transcribed Image Text:Figure 1 Ato -L S At (a) (b) T S D -L-
In Figure 1a, a cosmonaut measures the time interval Ato between successive ticks
of his clock. In Figure 1b, an earth-based observer measures a time interval At
between ticks that is greater than Ato. The spaceship is moving past the earth at a
constant speed v that is 0.90 times the speed of light. In other words, v = 0.90c. The
cosmonaut measures the time interval between successive "ticks" of the spaceship
clock to be Ato = 1.0 s. Determine the time interval At measured by the earth-based
observer.
Transcribed Image Text:In Figure 1a, a cosmonaut measures the time interval Ato between successive ticks of his clock. In Figure 1b, an earth-based observer measures a time interval At between ticks that is greater than Ato. The spaceship is moving past the earth at a constant speed v that is 0.90 times the speed of light. In other words, v = 0.90c. The cosmonaut measures the time interval between successive "ticks" of the spaceship clock to be Ato = 1.0 s. Determine the time interval At measured by the earth-based observer.
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