The proper mean lifetime T of a u meson is approximately some height h above the earth's surface travels downward at a velocity of v = 0.55c. If 1 percent of the muons in the original burst survive to reach the earth's surface, estimate the height h where the muons were created. Ignore collisions of the muons with the atmosphere. Note that in the muon's rest frame, the number of particles which survive to a time t is given by N(t) = N(0)et/T. Give your answer in kilometers to 2 significant figures.

The proper mean lifetime T of a u meson is approximately some height h above the earth's surface travels downward at a velocity of v = 0.55c. If 1 percent of the muons in the original burst survive to reach the earth's surface, estimate the height h where the muons were created. Ignore collisions of the muons with the atmosphere. Note that in the muon's rest frame, the number of particles which survive to a time t is given by N(t) = N(0)et/T. Give your answer in kilometers to 2 significant figures.