06 (a) A stationary particle 1 decays into particles 2 and 3, which move off with equal but oppositely directed momenta. Show that the kinetic energy K2 of particle 2 is given by K, -[(E, - E) – E, 2E, where E1, E2, and Ez are the rest energies of the particles. (b) A stationary positive pion + (rest energy 139.6 MeV) can de- cay to an antimuon ut (rest energy 105.7 MeV) and a neutrino v (rest energy approximately 0). What is the resulting kinetic energy of the antimuon?

Q: an electron is accelerated through a potential difference of 1.5 MV and hence gains 1.5 MeV of…

A: kinetic energy gained due to potential difference (U) = 1.5 MeV Initial speed (u) = 0 msmass of…

Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…

A: Concept:               When there is no external force on the system . The momentum remains…

Q: A K0 particle at rest decays into a π+ and a π−. The mass of the K0 is 497.7 MeV/c2 and the mass of…

A: The expression for the speed of each the pion from energy equation,

Q: The speed of a proton was increased from 1x10 8 m/s to 2x10^8 m/s. If the rest energy of proton is…

A: Initial speed of proton (u) = 108 msFinal speed of proton (v) = 2×108 msRest energy (E) = 938 MeVc2…

Q: How much work is required to accelerate a proton from rest up to a speed of 0.85c? A. 1.11 × 10 J.…

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Q: The speed of a proton was increased from 1x10^8 m/s to 2x10^8 m/s. If the rest energy of proton is…

A: The solution is given below

Q: 37.2 • The positive muon (u), an unstable particle, lives on average 2.20 x 10-6 s (measured in its…

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Q: eson of rest energy 139.6MeV moving at a speed of 0.921c collides with and sticks to a proton of…

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Q: In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle.  We…

A: Given,

Q: Take the ratio of relativistic rest energy, E = γmc 2, to relativistic momentum, p = γmu , and show…

A: The relativistic rest energy is, E=γmc2p=γmc andEp=γmc2γmc=c

Q: If a massless particle has momentum 1,368 MeV/c, calculate its energy in MeV.

A: The given moment in MeV/c can be obtained in MeV as

Q: A proton and anti-proton with rest energy 8f, 3.0 108 What is the relative speed of positron and…

A: Given: E0=931 MEVC2V=0.995×cc=3×108 ms

Q: An unstable particle at rest breaks into two fragments of unequal mass. The mass of the lighter…

A:

Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…

A: Apply energy conservation on the paticles, that the rest energy of the particle equals the energy of…

Q: 6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper…

A: Given data: i)  Proper lifetime, ∆t'=26.0 ns Speed of the particle, v=0.95c ii) Length of the rod is…

Q: A nuclear reaction releases 9. 00 x 103 J of energy. What was the change in mass? O 5.0 x 10 2 kg O…

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Q: Particle Decay: A º pion decays via the process → y + y, emit- по ting one photon in the forward…

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Q: A particle X with mass of my 1950m, is moving at speed of v = 0.950c along the x-axis in laboratory…

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Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…

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Q: Consider electrons accelerated to a total energy of 20.0 GeV in the 3.00 - km - long Stanford Linear…

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Q: A car roles off the assembly line with a mass of 2000kg.  A very special rocket booster, with mass…

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Q: Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each…

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Q: What is the velocity, as a fraction of c, of an electron with 1.8 GeV total energy? ΑΣφ •C

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Q: Some particles are created via collisions. For instance, pions are created via collisions with high…

A: From conservation of momentum, we can say thatP1x + P2x =  P3x +  P4x +  P5xOn substituting the…

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: An antiproton p has the same rest energy as a proton. It is created in the reaction p + p → p + p +…

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Q: An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass of…

A: Given: The speed of the small fragment is 0.893c. The mass of the small fragment is 2.5x10-28 kg.…

Q: A particle X with mass of mx = 1950me is moving at speed of v = 0.950c along the x-axis in…

A: As per guidelines we are suppose to do only first three part from multipart question. Given,Particle…

Q: An unstable particle is at rest and suddenly decays intotwo fragments. No external forces act on the…

A: The given values are, v1=0.60cm1=6.67×10-27 kgm2=1.67×10-27 kg

Q: 28) The rest mass of a proton is 0.940 GeV/c2. The rest mass of the up quark (u) is 0.002 GeV/c2 and…

A: Please see the answer below.

Q: An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K°…

A: 0we will use the relativistic addition formula

Q: An unstable particle of mass 3.34 x 10-27 kg is  initially at rest. The particle decays into two…

A: Given: Mass of the parent unstable particle: Velocity of the particle moving toward the left:…

Q: A particle X with mass of mx = 1950m, is moving at speed of v = 0.950c along the x-axis in…

A: mx = 1950 mev = 0.95 c t = 3.14 μs

Q: Objects "mAmA" and "mBmB" have the same mass, and "mCmC" has double the mass of "mAmA". Which of the…

A: The position of the given system’s center of mass (C.O.M) can be found as, Here, m, x, and y…

Q: What is the rest energy of an electron, given its mass is 9.11×10−31 kg ? Give your answer in joules…

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Q: At the Fermilab accelerator in Weston, Illinois, singly charged ions with momentum 3.3 × 10−16 kg…

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Q: A particle at rest, with mass m0 = 48 M, decays, emitting two others (M is a constant with a unit of…

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Q: The half‑life, at rest, of a positive pion is 1.80×10−8 s. With what speed V must a positive pion…

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Q: Muons at speed 0.9918 c are sent round and round a circular storage ring of radius 350 m. If a muon…

A: