4.4 Muon lifetime. The lifetime of a stationary muon is 2.2 microseconds. A beam of muons is produced traveling at 83% of the speed of light. How far will the muons travel before they decay (a) if commonsense ideas of time were correct? (b) in the real world of elativity? (Measuring this distance is a direct test of time dilation, frequently performed in undergraduate physics teaching laboratories.)

Q: What must be the speed of an electron for its relativistic kinetic energy to be equal to its rest…

A: The relativistic kinetic energy (KE) of the electron is equal to the rest energy (E).

Q: An alien leader is watching Earth sitcoms transmitted to a distant planet. The season finale of the…

A: Speed of radio wave = 186,000 miles per second Distance between earth and planet = vx time = 186000…

Q: An astronaut in a starship travels to a Centauri, a distance of approximately 4 ly as measured from…

A: Special relativity says that time and space are not absolute, it has two main postulates, The laws…

Q: How fast must an object be going if its rest length is 2.1 times as long as its observed length?

A: Given: The rest length of the object is 2.1 times of the observed length.

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: A muon is a lepton that is a higher-mass (rest mass 105 MeV/c2) sibling to the electron. Muons are…

A: Given: Muons are produced in the upper atmosphere when incoming cosmic rays collide with the nuclei…

Q: Unreasonable Results(a) Find the value of for the following situation. An Earth-bound observer…

A: The expression for the relation between time and relativistic factor, γ≈∆t∆t0   Substitute, γ≈23.9…

Q: formed high Earth atmosprere travels towards Earth at a speed J.89C for distance or 4.0 Km as…

A:

Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.662c?  kg · m/s (b) At what speed (in…

A: (a) momentum of the proton prel=m0v1-v2c2=1.67×10-27 kg0.6223.0×108 m/s1-0.662c2c2=4.157×10-19…

Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)…

A: Given: Length of the spacecraft as per observer (you) is 100 m Speed 'v' = 0.8 c

Q: (A) At rest, a spaceship has length Lo. In motion at speed v, its length is measured by external…

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Q: The mean lifetime of pi mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured…

A:

Q: The average lifetime of high-speed muons is 520 μs, as measured in the muon’s reference frame.…

A: The rest time is given as 320 μs and the time at the reference frame is given as 520 μs.

Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.674c?  kg · m/s (b) At what speed (in…

A: Given data:- the given value of proton moving, 0.674c we know the speed of light is, c=3×108 m/s

Q: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…

A: The velocity of spaceship is, v=dt=1.5 ly9.461×1015 m1 ly1.8 yr3.154×107 s1 yr=14.1915×1015…

Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

A: (a) Given: The speed of the muon is 0.99c. The time for which the muon lives is 1.45 μs.…

Q: Protons in an accelerator at the Fermi National Laboratory near Chicago are accelerated to a total…

A:

Q: Muons have a short average lifespan of 2.2 microseconds (in their rest frame). They are created upon…

A: It take 2.083 x 10-4 seconds or 208.3 microseconds for a muon moving as fast as light to traverse…

Q: Muons are elementary particles that are formed high in the atmosphere by the interactions of cosmic…

A: Cosmic rays are high energy charged particles that enter the upper layer of atmosphere from the…

Q: An astronaut takes off from Earth and moves at speed 0.99c toward the star Z, which is 26 ly…

A: Given data :  Speed, v = 0.99c  Distance, S = 26 ly = 26× 9.461×1015 meter  To find :  Time when…

Q: A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. (a) What is the…

A:

Q: Any process used to keep time will appear to happen more slowly in a moving object, when seen by an…

A: Option 1st and 3rd are correct option. Option 1 - Any process used to keep time will appear to…

Q: Astronaut Billbarr flees earth in a spaceship traveling at constant velocity to Alpha Centauri.…

A: (a) Given: The Earth and Alpha Centauri are separated in the star frame by 4.4 light years. The time…

Q: A moving spaceship measures 20m long, but according to an observer at rest looking at it, it seems…

A: Given value--- moving spaceship measures 20m long. an observer at rest looking at it, it seems to…

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: ay from Earth? (b)To what frequency must Earth receivers be tuned to receive the report when the…

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Q: You are on an interstellar mission from the Earth to the 8.7 light-years distant star…

A: (a) since the space ship travels at a speed comparable to the speed of light, the distance to the…

Q: Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy…

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Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.716c?  kg · m/s (b) At what speed (in…

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: 2.30 x 10-³c. and (b) 0.867c. (a) Number (b) Number Units Units

A:

Q: Muon. A muon produced by nuclear reaction in a space station is moving at 0.950c towards Earth. Its…

A: Given Velocity (v)      = 0.950 c Life time ∆τ = 2.2×10-6 s

Q: (A) Suppose the rest mass of a spaceship is M. How much energy is required to accelerate it to speed…

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Q: Compute the kinetic energy of a proton (mass 1.67 x 10-27 kg) using both the nonrelativistic and…

A: Non-relativistic expression for kinetic energy K1=mv2 Relativistic expression for kinetic energy…

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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 beam of particles travels by at 2.0*10^8. At this speed you measure them to live 5.00* 10^6  sec,…

A: