Two π+ mesons are created. One is created at rest in the laboratory, and one moving at v = (4/5)c. c is the speed of light. Both decay in 2 x 10-9 s in their own rest frames. What is the lifetime of the moving pion as measured in the lab, compared to the lifetime of the pion at rest in thar lab as measured in the reference frame of the moving pion?
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Two π+ mesons are created. One is created at rest in the laboratory, and one moving at v = (4/5)c. c is the
What is the lifetime of the moving pion as measured in the lab, compared to the lifetime of the pion at rest in thar lab as measured in the reference frame of the moving pion?

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- Chapter 37, Problem 045 In a high-energy collision between a cosmic-ray particle and a particle near the top of Earth's atmosphere, 110 km above sea level, a pion is created.The pion has a total energy E of 1.68 x 105 MeV and is traveling vertically downward. In the pion's rest frame, the pion decays 35.0 ns after its creation. At what altitude above sea level, as measured from Earth's reference frame, does the decay occur? The rest energy of a pion is 139.6 MeV. Number UnitsThe 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?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?
- At the Stanford Linear Accelerator Center (SLAC; see Fig. 33.9), subatomic particles are accelerated to high energies over a straight path whose length, in Earth's reference frame, is 3.2 km. For an electron traveling at 0.9999995c, how long does the trip take as measured (a)in Earth's frame and (b) in the electrons' frame?A particle is created in the upper atmosphere; 18km above the surfaceof the Earth as measured by someone on the ground. The particle travelstowards Earth’s surface at a speed of 0.95c as measured by someone on theground. The particle travels for a time period 2.0 × 10−5s as measured inthe particle’s rest frame. The question is attached as an image and the correct answer is A, could someone please explain why this isA particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.990c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.6 × 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number i (b) Number i Units Units
- High-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 known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.986c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.8 × 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number MO Units UnitsDerive an expression for E using the attached equation (Lorentz Force Law), and calculate a predicted value for E in N/C if a particle had v = 40 m/s, q = -0.001 C, m = 0.3 ⨉ 10 -3 kg, and B = 0.6 T.