8 01 points Previous Answers TipMod6 1P042 My Notes Ask Your

8. 0/1 points| Previous Answers TipMod6 1.P.042. My Notes Ask Your Teacher A clock is placed in a satellite that orbits Earth with a period of 81 min. By what time interval will this clock differ from an identical clock on Earth after 4 years? (Assume that special relativity applies.) 0.0475

Solution

let, Radius of the orbit of the satellite, r = 8.05535 x 10^6 m/s

Time-period of the satellite, T = 81 min = 81 * 60 = 4860 s

Time, t = 4 years = 4[365.25 days] = 1.262304e+8 s

Speed of the satellite, v = 2r / T = 2 * 8.05535 x 10^6 / 4860 = 10414.25 m/s

Time interval, = (1/2) (v/c)^2 t = 0.5 * (10414.25 / 2.998 x 10^8)^2 * [1.262304e+8 s] = 0.076 s