it states that the length measured by moving frame should be shorter than that measured by resting frame.
However, the relativity of time and length has to follow
Einstein’s
Principle of Relativity
1.
The principle of relativity: The laws of physics must be the same in all
inertial reference frames.
2.
The constancy of
the speed of
light: The speed
of light in
vacuum has the same value, c = 3.00 * 108
m/s, in all inertial frames, regardless of the velocity of the observer or the
velocity of the source emitting the light.
v
γ = 1.20
γ = 1.12
γ = 1.41
γ = 1.30
Conclusion
The time measured by the observer in moving frame is longer than that measured by the person in resting frame. This effect is called time dilation. Observers measure any clock to run slow if it moves relative to them. ∆t = γ∆t0 With ∆t0 represents the observer at rest in the same frame as the events. Besides the time difference, the distance between the two points is affected by different frame of reference. It is shown that the distance observed by moving frame is shorter than that observed by a resting frame, the proper length. This is called length contraction. This is consistent with the equation.When γ get larger, the speed increases. This is based on ratio u2/c2. Also, the length, which is indicated by the blue line, measured by the resting frame is longer than that of moving frame, this is also consistent with the equation. However, only length parallel to the relative motion is affected by difference frame of reference. Lengths perpendicular to the relative motion is not affected.
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