Two atomic clocks are synchronized. One is placed on a satellite which orbits ar

Question

Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.

Explanation / Answer

tm = ts/(1-v2/c2)

calculated the tm using a theoretical velocity (3x103m/s) and a theoretical ts 3.1x107

(about how many seconds per year) When calculated using tm = ts/(1-v2/c2)

I find no time dilation.. 3.1x107/0.9999999999= 3.1x107

b) using the same theoretical #'s, and changing the speed of light of course, I determined much more time dilation

would occur as expected, as objects approach

the speed of light time dilation becomes very significant. tm=3.1x107/(1-1x10-6) =31,000,015.5 s

significant time dilation as speed becomes closer to speed of light, or in this case speed of light becomes closer to

speed of satellite.

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