The proper lifetime of a certain particle is 100.0 ns. How long does it live in the laboratory if it moves at v = 08602
Q: Suppose a particle called a kaon is created by cosmic radiation (high-energy protons of unknown ori…
A: Givenv=0.989c∆to=1.238×10-8 s
Q: Two π+ mesons are created. One is created at rest in the laboratory, and one moving at v = (4/5)c. c…
A: Given : Let us say that π1 is created at rest in the laboratory frame and π2 is the one which is…
Q: A high speed particle enters a medium and travels 7.8 mm before it decays. If the particle was…
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Q: A particle has a lifetime, as measured in its own reference frame, of 0.42 µs. It propagates at a…
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Q: The K+ meson, a subatomic particle, has an average rest lifetime of 1.0 x 10-8 s. If the particle…
A: The time interval for an event measured in a moving inertial frame is related to the time interval…
Q: alled a kaon is created by cosmic radiation striking the atmosphere. Randomized Variables c =…
A: Givenc = 0.965 c t = 1.4 × 10-8 s
Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. Randomized…
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Q: Two particles in a high-energy accelerator experiment are approaching each other head-on, each with…
A: Given that:In a high energy accelerator experiment, two particles are approaching each other head-on…
Q: Muons are sub-atomic particles that are similar to electrons (except with much more mass). They are…
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Q: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406. What is the relativistic…
A: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406
Q: There are electrons in a 2 mi linear accelerator that reach a final velocity vf = 0.9999999997c. If…
A: length of accelerator with respect to the electron frame L=L01-v2c2 = 2 mi…
Q: The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.24 us.…
A: Given Data: Life time of muon at rest (∆t0) = 2.24 μs = 2.24×10-6 s.Life time of muon in lab frame…
Q: These questions refer to identical spaceships that you and your friend are using. The ships are…
A: The solution of the problems is given below
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Given Data: Speed of the particle (v) = 0.986c.Lifetime of pion (T) = 3.4×10-8 s. To Determine: (a).…
Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…
A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…
Q: The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.21 us.…
A: Given Data:Life time of muon at rest Life time of muon in lab frame Rest energy of electron To…
Q: A neutral pion 77 (rest energy = 135.0 MeV) produced in a high-energy particle experiment moves at a…
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Q: How far from the earth would you be able to travel in a lifetime of 82 years if you were able to…
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Q: A short-lived particle with mass 454.4 MeV/c² and lifetime 2.5 μs is created in the upper atmosphere…
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Q: T55. Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it…
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Q: with total relativistic energy equal to 1.7 times its rest energy. The speed of the particle is v.…
A: Total relativistic energy is equal to 1.7 times its rest energy. E = 1.7e
Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…
A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c
Q: A particle detector can be used to measure the speed of an unstable particle if the lifetime is…
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Q: The rest energy of a particular subatomic particle is 1200 MeV. If this particle is traveling at 90%…
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Q: . A cheetah weighing 375 N chases a gazelle at a speed of 34.9 m/s.
A: A.Mass of pion:mπ=140 MeV/c2=140×106×1.6×10-19(3×108)2=2.49×10-28 kgSpeed, v=9.81×103 km/s=9.81×106…
Q: 1. You and your lab partner are making measurements on particle decay in the lab. You make the…
A: Given data- You and your lab partner are making measurements of particle decay in the lab. Some…
Q: Chapter 37, Problem 045 In a high-energy collision between a cosmic-ray particle and a particle near…
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Q: A kaon with a speed 0.8c in the laboratory decays into two pions, one positively charged and the…
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Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Speed (v) = 0.990c Where, c = 3 × 108 m/s t = 2.6 × 10-8 s
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Given Data: Speed of the particle (v) = 0.986c.Lifetime of pion (T) = 2.8×10-8 s. To Determine: (a).…
Q: Six identical particles have a speed 2m/s except for the last ( which is the seventh) particle which…
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Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…
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- measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…A particle whizzes through your lab at a speed of 0.74c. Your detectors determine that its lifetime was 1.1ns. Find its lifetime in the particle's reference frame. Please give your answer in nanoseconds.The distance from earth to the center of our galaxy is about 33,000 ly (1 ly = 1 light year = 9.47 x 1015 m), as measured by an earth- based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 x 107 s.) Number i d Modic Units
- 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 0.992c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.7 x 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 i Units UnitsThe lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.57 ✕ 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be (in s)?The distance from earth to the center of our galaxy is about 24,000 ly (1 ly = 1 light year = 9.47 x 1015 m), as measured by an earth- based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 x 107 s.) Number Units
- The half‑life of a certain subatomic particle at rest is about 1.00×10−8 s. With what speed V is a beam of these particles moving if one‑half of them decay in 4.00×10−8 s as measured in the laboratory? V = ? m/sA 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 0.988c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 3.3 x 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 i Units Units # +Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.99c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.99 ct = 1.5 μs Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).
- Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle X has a lifetime of 256.2 ps. These particles are created in an experiment inside the detector by a given reaction. The particles leave 21.6 cm long tracks on average before they decay into other particles not observable by the detector.What is the average speed of the particles in terms of the speed of light?A proton has an energy of 1 TeV. How fast is the proton moving? For simplicity, take mc² = 1 GeV.An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.992c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 1.05 × 10-3 m before disintegrating. What is (a) the proper distance and (b) the distance measured by a hypothetical person traveling with the particle? Determine the particle's (c) proper lifetime and (d) its dilated lifetime. (a) Number Units (b) Number Units (c) Number Units (d) Number Units