Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has a velocity v = 0.960c. The muon then travels at constant velocity and lives 1.52 mu s as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock. See the figure below. Enter your answers to at least four significant figures. Assume the speed of light is 2.998 times 10^8 m/s.) How long would the muon have lived as observed on the Earth if its velocity was 0.0600c?
mu s How far would it have traveled as observed on the Earth? What distance is this in the muon's frame?