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A crew on a spacecraft watches a movie that is two hours long. The spacecraft is moving at high speed through space. An Earth-based observer watching the movie screen on the spacecraft through a powerful telescope measures the duration of the movie to be _______ two hours.

Respuesta :

Answer:

The duration of the movie is longer than 2 hrs.

Explanation:

Given:

The duration of the movie observed by the crew on the spacecraft is 2 hrs.

According to time-dilation formula:

[tex]t = \dfrac{t_{0}}{\sqrt{1 - \dfrac{v^{2}}{c^{2}}}}[/tex]

Here, [tex]t[/tex] is the required time, [tex]t_{0}[/tex] is the original time, [tex]v[/tex] is the velocity of the spacecraft and [tex]c[/tex] is the velocity of light.

Since [tex]v<<c[/tex], so [tex]t_{0} > t[/tex].

So the time required will be large.

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