A clock is placed in a satellite that orbits the earth with a period of 82 min at the radius 6.24942 x 106 m. By what time interval will this clock differ from an identical clock on the earth after 2 y? Assume that special relativity applies and neglect general relativity. There are 365.25 days in a year. A useful approximation is √(1-x) ≈ 1 - ½ x for x<<1.
A subnuclear particle called a muon has a mean lifetime of 2 µs when stationary.
If you measure the mean lifetime of the muons coming out of a nuclear reactor port to be 34 µs, how fast are they moving?