The First Intergalactic Spaceship Is Headed Toward the Magellanic Clouds $\Delta t=\gamma \beta \frac{\Delta x}{c}$

question 10

Multiple Choice

The first intergalactic spaceship is headed toward the Magellanic Clouds at a speed of 0.8c. The spaceship is 1000 m long. Clocks at the front and the rear of the spaceship both read 3:00 P.M. Can it be 3:00 P.M. simultaneously at the front and the back of the spaceship?

• A)No, because \(\Delta t=\gamma \beta \frac{\Delta x}{c}\) , where \(\Delta\)x is the length of the spaceship.
• B)No, because one clock has to move after being synchronised with the other.
• C)Yes, because \(\Delta\)x in (a) is zero for different points of the same spaceship.
• D)Yes, because two clocks at rest relative to each other can be synchronised by means of light signals when the distance between them is known.
• E)The question cannot be answered unless we know the object relative to which the spaceship's velocity is 0.8c.

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