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

question 9

Multiple Choice

The first intergalactic spaceship is headed toward the Magellanic Clouds at a speed of 0.8c.The spaceship is 1 000 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 synchronized 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 synchronized 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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