Mastering Physics - Relativity PLEASE, ANSWER ALL THE QUESTIONS BELOW CORRECTLY.
ID: 2303522 • Letter: M
Question
Mastering Physics - Relativity
PLEASE, ANSWER ALL THE QUESTIONS BELOW CORRECTLY. LIST THEM IN ORDER. THANKS.
One of the many interesting fundamental particles in nature is the muon ?. This particle acts very much like a heavy electron and has a mass of 106MeV/c2, compared to the electron's mass of just 0.511MeV/c2. (Here we are using E=mc2 to obtain the mass in units of energy and the speed of light c). Unlike the electron, the muon has a finite lifetime, after which it decays into an electron and two very light neutrinos ( ?). We'll ignore the neutrinos throughout this problem. If the muon is at rest the characteristic time that it takes to decay is about 2.2?s (??=2.2
Explanation / Answer
C) E = gamma mc^2 = .106/sqrt(1-0.999^2)= 2.37 GeV
d) d = 0.9999*3.0E8*2.6E-8=7.799 m
e) d= 0.999943*3.0E8*2.2E-6= 659.96 m
f) now time dilation so
d = 0.9999*3.0E9*2.6E-8/sqrt(1-0.9999^2)= 5515 m
g) d = 0.999943*3.0E8*2.2E-6/sqrt(1-0.999943^2)= 61812 m = 61.8 km