(a) What is the speed of the rockets relative to each other? (b) An astronaut in rocket A sets his stopwatch to zero when the noses of the rockets pass each other. What will the stopwatch read when the tails of the rockets pass each other?

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2. Two relativistic rockets travel toward each other, according to someone on Earth. As seen from Earth, rocket A (of proper
length 1000 meters), travels with a speed of 0.7c in the positive x-direction. Rocket B (of proper length 2000 meters) has a speed
of 0.6c, according to an observer on Earth, and is traveling toward rocket A.
(a) What is the speed of the rockets relative to each other?
(b) An astronaut in rocket A sets his stopwatch to zero when the noses of the rockets pass each other. What will the
stopwatch read when the tails of the rockets pass each other?
Transcribed Image Text:2. Two relativistic rockets travel toward each other, according to someone on Earth. As seen from Earth, rocket A (of proper length 1000 meters), travels with a speed of 0.7c in the positive x-direction. Rocket B (of proper length 2000 meters) has a speed of 0.6c, according to an observer on Earth, and is traveling toward rocket A. (a) What is the speed of the rockets relative to each other? (b) An astronaut in rocket A sets his stopwatch to zero when the noses of the rockets pass each other. What will the stopwatch read when the tails of the rockets pass each other?
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