1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket the speed of the electron moving toward the front of the rocket iii) the speed of the electron moving toward the rear of the rocket

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1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer
on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c
through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the
rear.
a) In the astronaut's frame, calculate the time interval between the electron reaching the front
of the rocket and the other electron reaching the rear.
b) In the Earth observer's frame, calculate:
i)
the length of the rocket
ii)
the speed of the electron moving toward the front of the rocket
i)
the speed of the electron moving toward the rear of the rocket
Transcribed Image Text:1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocket
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