Experiment 13: Relativity

PURPOSE:

Relativity in Time:

Distance was calculated by the light traveled in a stationary frame and the distance traveled in a moving frame.

Time was claculated that it takes for the moving frame compared to the rest frame. when the moving frame is recorded by a stationary observer it takes longer. This is because the light needs to travel a larger distance but only at the speed of light. 

Time was measured both by a stationary observer and an observer in the moving frame. the observer in the moving frame obtains the same time as a stationary observer in the stationary frame. This occurs because relative to the observer the light only has to travel up and down. The time measure by a stationary observer is longer regarding the moving frame. 

As the velocity approaches a smaller number, the gamma also gets smaller.  

The proper time is equal to 6.67 microseconds. Using a gamma of 1.2 in the equation t'=gamma*t, the resulted time is equal to 8.004 microseconds.

PROPER LENGTH: 

The time does not depend on whether the light is moving stationary relative to the earth. 

The time interval will be longer as viewed on earth on the moving frame because there was a relative longer distance traveled by the light. 

The Round trip time interval thats measured on the earth would not be equal to the product of the Lorentz factor, and the proper time interval of the moving light clock. They are not equal because the length has decreased and the time has increased on the earth.

A light clock is 1000 m long when measured at rest. If the lorentz factor is 1.3, then the length of the earth bound clock would be about 769m.