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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

Respuesta :

metchelle
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.