A neutral K meson (mass 497.7 MeV/c²) is moving with a kinetic energy of 77.0 MeV. It decays into a pi meson (mass 139.6 MeV/c²) and another particle of unknown mass. The pi meson is moving in the direc- tion of the original K meson with a momentum of 381.6 MeV/c. (a) Find the momentum and total rela- tivistic energy of the unknown particle. (b) Find the mass of the unknown particle.
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- 3.4. Cosmic ray muons are produced high in the atmosphere (at 8000 m, say) and travel toward the earth at very nearly the speed of light (0.998 c, say). (a) Given the lifetime of the muon (2.2 x 10-6 sec), how far would it go before disintegrating, according to prerelativistic physics? Would the muons make it to ground level? (b) Now answer the same question using relativistic physics. (Because of time di- lation, the muons last longer, so they travel farther.) (c) Now analyze the same process from the perspective of the muon. (In its reference frame it only lasts 2.2 x 10-6 sec; how, then, does it make it to ground?) + (d) Pions are also produced in the upper atmosphere. [In fact, the sequence is proton (from outer space) hits proton (in atmosphere) → p + p + pions. The pions then decay into muons: ¯ → μ¯ + D µ; πt → μ† + vµ.] But the lifetime of the pion is much shorter, a hundredth that of the muon. Should the pions reach ground level? (Assume that the pions also have a speed of…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 propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a momentum of 7.34E-19 kg.m/s. Determine the mass of that particle, expressed in units of 1E-27kg and keeping three significant digits. (So if the mass was 7E-27kg, you would enter 7).
- There is a free neutron that is at rest. It decays into a proton (mass energy is 938.30 MeV), an electron (mass energy is 0.50 MeV, and an antineutrino (mass energy is negligible on the scale of MeV). What is the total kinetic energy of the decay products?The Kº meson is a subatomic particle of mass 498 MeV/c² that decays into two charged pions, Kº→++. The and have opposite charges, but the same mass, 140. MeV/c². A Kº at rest decays into two pions. Find the energies, momenta, and speeds of the two pions.Six identical particles have a speed 2m/s except for the last ( which is the seventh) particle which has a speed of 4m/s. What is the vavg of these particles?
- 12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.The wow expert Hand written solution is not allowed.An alpha particle has a mass of 6.4E-27kg is propagating at relativistic speeds and has an energy of 6.48GeV (so 6.48E9 eV) What is the speed of the particle, expressed in units of c, c being the speed of light. Keep three significant digits.
- Consider a proton moving with speed = 0.94 c. (c is the speed of light.) What is the kinetic energy, in MeV? (in MeV) OA: 1160 OB: 1449 OC: 1812 OD: 2265 OE: 2831 OF: 3539 OG: 4423 OH: 5529An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a relative speed of 0.960c before it decays (becomes another particle). (a) What is the proper lifetime of the particle? (b) What is the distance the particle travels as measured from its rest frame?An electron-positron collider creates muons through the reaction et +e →µ* +µ. In the center-of-momentum frame, what is the minimum speed of the electron for this reaction to occur, in terms of the masses me and mu of the electron and muon? Oc(1-) 2m 7ne - my O This process can occur at any speed.