Physicists at the Stanford Linear Accelerator Center (SLAC) bombarded 9-GeV electrons head-on with 3.1-GeV positrons to create B mesons and anti-B mesons. What speeds did the electron and positron have when they collided?
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Physicists at the Stanford Linear Accelerator Center (SLAC) bombarded 9-GeV electrons head-on with 3.1-GeV positrons to create B mesons and anti-B mesons. What speeds did the electron and positron
have when they collided?
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- 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?SS f6 8. An electron travels at a speed of 8.80 × 107 m/s. What is its 9.11 × 10-³1 kg) MeV 60 ssf60 ssi of t energy? (The rest mass of an electron 50 ssf60 ss ssf60 ssf6ůHigh-energy particles are observed in laboratories by photographingthe tracks they leave in certain detectors; the length of the trackdepends on the speed of the particle and its lifetime.A particle moving at 0.85 c leaves a track 1.25 mm long. What is the properlifetime of the particle?
- A particle is found to have a lifetime of 30 ms. It is found moving at a speed of 0.999c. How long can the particle be observed in a laboratory if it is moving at the given speed.The wow expert Hand written solution is not allowed.Question 25 MeV C2 MeV C A pion's rest mass is 139.6 Pions with a momentum 200.0 are produced at the TRIUMF cyclotron in Vancouver. What is their speed? (Hint: to solve this problem, let the speed of the pions be x-c where x <1, and solve for x) A. 0.421 c B 0.820 c C. 0291 c D.0.766 c E. 0.156 c
- A Van de Graaff accelerator utilizes a 50.0 MV potential difference to accelerate charged particles such as protons. (a) What is the velocity of a proton accelerated by such a potential? (b) An electron?Calculate the lifetime in s of an exotic particle with a rest energy of 83.67 ± 1.93 GeV.When pions are brought to rest their lifetime is 1.77´10-8 s. A beam of pions is produced in an accelerator and moves at a speed of 0.99c relative to the laboratory. After moving 39 m as measured in the la, half the pions have decayed. a) from the viewpoint of an observer in the lab frame and b) from an observer at rest in the frame of the moving pions that the two numerical results given in the problem for the half-life of the pions are consistent.
- Muons are produced through the annihilation of particle a and its anti-particle, namely the process a + a → µ* + µ¯. A muon has a rest mass of 105 MeV/c² and its proper life time is 2us. If the center of mass energy of the collision is 2.1 GeV in the laboratory frame that coincides with the center-of-mass frame, then the fraction of muons that will decay before they reach a detector placed 6 km away from the interaction point is (a) e-¹ -1 (b) 1-e¹ (c) 1-e² (d) e-¹0What is the kinetic energy in MeV of a π -meson that lives 1.40×10−16 s as measured in the laboratory, and 0.840×10−16 s when at rest relative to an observer, given that its rest energy is 135 MeV?The "muon" is an unstable particle with rest mass m = 106 MeV/c^2. The mean lifetime of a muon at rest is 2.2 microseconds. (micro= 10^-6) Now consider a muon moving in a laboratory, with total relativistic energy E = 2.5 GeV. (G= giga = 10^9). What is the mean distance that the muon would travel relative to the lab, before decaying? (in m) OA: 5.098x103 OB: 7.392x103 OC: OD: OE: 1.072x104 1.554x104 2.254x104 OF: 3.268x104 OG: 4.738x104 OH: 6.870x104