Massive stars ending their lives in supernova explosionsproduce the nuclei of all the atoms in the bottom half ofthe periodic table by fusion of smaller nuclei. This problemroughly models that process. A particle of mass m = 1.99 x10-26 kg moving with a velocity i = 0.500cî collides head-onand sticks to a particle of mass m' = m/3 moving with thevelocity i = -0.500ci. What is the mass of the resultingparticle?

The formula for the relativistic momentum of a particle is:

Answered: Massive stars ending their lives in…

University Physics Volume 3

17th Edition

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Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 71P: (a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV...

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An unstable particle with a mass equal to 3.34 1027 kg is initially at rest. The particle decay's into two fragments that fly off with velocities of 0.987c and 0.868c, respectively. Find the masses of the fragments. Hint: Conserve both mass-energy and momentum.
If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?
Energy reaches the upper atmosphere of the Earth from the Sun at the rate of 1.79 1017 W. If all of this energy were absorbed by the Earth and not re-emitted, how much would the mass of the Earth increase in 1.00 yr?
(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.
The primary decay mode for the negative pion is +v . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon.
In a nuclear power plain, the fuel rods last 3 yr before they are replaced. The plant can transform energy at a maximum possible rate of 1.00 GW. Supposing it operates at 80.0% capacity for 3.00 yr, what is the loss of mass of the fuel?
9. Tau leptons are fundamental particles with a mass of 1777 MeV/c² and a mean lifetime of 2.903 × 10-¹3 s (as measured in the rest frame of the tau lepton). Imagine that a tau lepton is produced in a high energy collision, such that it has a kinetic energy of 6125 MeV as measured in the laboratory. Assuming that it survives for one mean lifetime in its own reference frame, what distance does its decay occur from the point where it was produced as measured in the laboratory (i.e. how far does it travel in the laboratory before decaying)?
The muon is a heavier relative of the electron; it is unstable, as we’ve seen. The tauon is an even heavier relative of the muon and the electron, with a half-life of only 2.9 x 10-13 s. A tauon is moving through a detector at 0.999c. If the tauon lives for one half-life, how far will it travel through the detector before decaying?
Two protons traveling at the same speed collide head‑on in a particle accelerator, causing the reaction p+p⟶p+n+?+ Calculate the minimum kinetic energy Kmin of each of the incident protons in megaelectronvolts. The π+ mass is 139.6 MeV/c2.
What is the momentum of the alpha particle that is moving at 0.5c. with mass equal to 7.0*10-27 kg.
A π -meson is a particle that decays into a muon and a massless particle. The π -meson has a rest mass energy of 139.6 MeV, and the muon has a rest mass energy of 105.7 MeV. Suppose the π -meson is at rest and all of the missing mass goes into the muon’s kinetic energy. How fast will themuon move?
(04.07 MC) The four fundamental forces are arranged in the increasing order of their relative strength. (A, B and C represent three of the fundamental forces.) A

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