Equations you need to use 1. Time Distance Velocity 2. The number of mu-mesons l

Question

Equations you need to use 1. Time Distance Velocity 2. The number of mu-mesons left 1,000 x 2 (time/1.62x10 6 seconds) 3. The speed of light c 33 x 10 meters/second 4. The weird Y factor [1-(v2/c2)] 1/2 PROBLEM 1 Background: Near the top of Mt. Washington in New Hampshire cosmic rays from outer space smash into the air and make particles called mu-mesons. (sometimes called muons) The mu-mesons don't live very long, their half-life is 1.52 x 10-6 seconds. That is, if you start with 1,000 mu-mesons, after 1.52 x 10-6 seconds only half (500) are left, after 2 x 1.52 x 10-6 seconds- 3.04 x 10 6 seconds only (2500 are left, etc. The number left 1,000 x 2 (time/152x10-6 seconds). Mt. Washington is about 2,000 meters high. The mu-mesons travel downward at 0.98 the speed of light, that is 0.98 c

Explanation / Answer

(a) (t)time =d/v=6.8*10^(-6) sec

(b) In after this time no of meson left

N=1000e^(-t/half life)=11.38 =11 meson

(c) [gamma] =1/sqrt(1-(v/c)^2)=5.25

(d)time=t* [gamma] =3.4*10^(-5) sec

(e) no of meson left=1.92*10^(-7) .it means 0 meson will be left.

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