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12 November, 16:32

An alarm clock is set to ring for a total of 1.00 minute

It is placed on a spaceship moving at 0.6 c

According to Mission Control on Earth, the alarm clock rings for:

A) 0.60 min

B) 0.64 min

C) 0.80 min

D) 1.00 min

E) 1.25 min

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Answers (1)
  1. 12 November, 19:42
    0
    The relationship if time according to the speed of light can be represented using Lorentz' time-dilation equation:

    T = To / sqrt (1 - (v^2/c^2))

    Where:

    T = new time = ?

    To = original time = 1 minute

    v = velocity = 0.6c

    c = speed of light

    Substituting the given values:

    T = 1 / sqrt (1 - (0.6c^2/c^2))

    T = 1 / sqrt (1 - (0.6^2))

    T = 1.25

    Therefore, the alarm clock would ring for 1.25 minutes.
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