A rocket of rest length 90 meters is traveling at speed 4/5c directly away from earth....

A rocket of rest length 90 meters is traveling at speed 4/5c directly away from earth. The rocket encounters an asteroid of length 80 meters also travelling directly away from the earth but at speed 3/5c.

a)According to the captain of the rocket, what is the velocity of the rocket relative to the asteroid?

b)At the front of the rocket, the captain of the rocket becomes aware of the asteroid and activates a warning signal. It takes one hour before the captain arrives at the back of the asteroid. In the earth frame, how long is the time interval between warning activation and the rocket arrival?

c)If the captain sends a radio signal traveling back to earth when he activates the warning signal and a second radio signal when he arrives at the asteroid, what is the time interval between the radio signal arrival times back on earth.

d) What is the time interval between the light arrival time in part c) according to the captain of the rocket?

e)According to the captain of the rocket, how long does it take for the rocket to pass an alien sitting on the asteroid?

Solutions

Expert Solution

genius_generous answered 1 year ago

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