A muon is created 53 kilometer above the surface of the earth (as measured in the earth's frame). The average lifetime of a muon, measured in its own rest frame, is 2.20μs , and the muon we are considering has this lifetime. In the frame of the muon, the earth is moving toward the muon with a speed of 0.983c.
A) In the muon's frame, find its initial height above the surface of earth?
B) In the muon's frame, find how much closer does the earth get during the lifetime of the muon?
C) Find what fraction is this of the muon's original height, as measured in the muon's frame?
D) In the earth's frame, determine what is the lifetime of the muon?
E) In the earth's frame, determine how far does the muon travel during its lifetime?
F) Obtain what fraction is this of the muon's original height in the earth's frame?