A particle with a mass M = 8.2 MeV/c² and 50.84 MeV/c at rest decays into two particles. The first with mass m = the second one is massless (i.e. a photon). It is given that the life-time of the particle with a mass m is 7 = measured by the particle's own frame of reference. How far will the particle m travel before it decays? Give answer in meters. = 8.2 × 10-6 & as

What is the velocity of an electron that has a momentum of 3.6 × 10-2¹kgm/s? Electron mass is 0.911 × 10-30kg. Note: Give an answer accurate to ten-thousandth place (4 places after decimal). Hint The velocity of the electron is C.

A particle has a rest mass of 7.15×10−27 kg and a momentum of 5.56×10−18 kg·m/s. Determine the total relativistic energy E of the particle.   Find the ratio of the particle's relativistic kinetic energy K to its rest energy ?rest.

One of the many fundamental particles in nature is the muon μ. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c2, compared to the electron's mass of just 0.511 MeV/c2. (We are using E=mc2 to obtain the mass in units of energy and the speed of light c). Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (ν). We'll ignore the neutrinos throughout this problem. If the muon is at rest, the characteristic time that it takes it to decay is about 2.2μs (τμ=2.2×10−6s). Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects. Part A: If a muon is traveling at 70% of the speed of light, how long does it take to decay in the observer's rest frame (i.e., what is the observed lifetime τμ of the muon)? Express…

The proper lifetime of a certain particle is 100.0 ns. How long does it live in the laboratory if it moves at v = 0.860c?

Needs Complete typed solution with 100 % accuracy.

A kaon with a speed 0.8c in the laboratory decays into two pions, one positively charged and the other negatively charged. The rest mass of the kaon is 498 MeV/c2 and the rest mass of the pion is 140 MeV/c2. (a) What is the total energy of the kaon in the laboratory frame? (b) In the rest frame the two pions must go off in opposite directions to conserve momentum. What is the energy of each of the pions in the kaon rest frame? (c) Assume that the positive pion continues to travel in the same direction as the kaon was traveling. What is the total energy of each of the pions in the laboratory? (d) In what direction, relative to the kaon’s original direction of travel, does the negatively charged pion travel?

A particle is created in a lab. Its kinetic energy is equal to its mass energy. If the particle travels a distance d before it decays, find an expression that shows how long the particle lived in its own rest frame.

An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator, collides with and sticks to an identical particle initially at rest. What is the speed of the combined particles?     CHOICES: a. 0.300 c b. 0.400 c c. 0.500 c d. 0.600 c

The half-life of a muon at rest is 1.5 micro secs. Muons that have been accelerated to a very high speed and are then held in a circular storage ring have a half-life of 6.2 micro secs. What is the total energy of a muon in the storage ring? The mass of a muon is 207 times the mass of an electron. 0.97c