If a proton is moving at very high speed, so that its kinetic energy is much greater than its rest energy (mc²), can it then decay via p →n+ a+?
Q: The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a…
A: The initial mass of the 14C is M1 = 2.34x10-26 kg. The 14C undergoes decay and emits electron and…
Q: Does the equation E= mc2 conflict with the conservationof energy principle? Explain.
A: Conservation of energy principle states that energy neither be created nor destroyed (by us),…
Q: The average lifetime of mu-meson is 2.19698-106 s. These subatomic particles are produced high in…
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Q: A K⁻ meson has a rest lifetime of 1.24 x 10⁻⁸ s. If one of these particles is created in a particle…
A: Formula of time dilation is as follows: ∆t'=∆t1-v2c2…
Q: A sphere of matter and a sphere of antimatter (both at rest) can annihilate releasing 0.6· 1030 MeV…
A: Let mass of each sphere be m the total energy released when annihilated, E=0.6 x 1030 MeV = 0.6 x…
Q: A particle has a proper lifetime of 2.5 × 10^−6s. How fast/gamma must it be going to arrive on the…
A: To calculate the speed and gamma factor of the particle, we need to use the formula: γ = 1/√(1 -…
Q: A neutral rho particle decays from rest into two pions through the following decay reaction: The…
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Q: Consider a proton having an energy of 0.85 TeV, produced by the Fermilab accelerator. Part (a)…
A: The energy of the proton, We need to find the relativistic parameter for…
Q: An electron with a total energy of 30.0 GeV collides with a stationary positron. (a) What is the…
A: When both masses are equal then total energy is much greater than rest energy, therefore available…
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: Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction…
A: It is assumed that a collider will be used in which protons having a rest mass of m0=938.3 MeV/c2…
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: The energy of a muon (a sub-atomic particle) is estimated to be 0.1066 GeV. Convert to its mass by…
A: Given Data: The energy of a Muon E=0.1066 GeV 1 amu=931.5 eV
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: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…
A: Given Data: Average life time of pi meson (∆t) = 2.6×10-8 s.Speed of the pi meson (v) = 0.93c. To…
Q: The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are…
A: The cosmic ray particle energy,
Q: Which of the following reactions and decays are possible? For those forbidden, explain what laws are…
A: Concept Used : For checking if the decay is possible or not we will be checking whether or not the…
Q: What is the rest energy (in joules) of a subatomic particle whose (rest) mass is 6.7×10−31 kg? How…
A: Rest mass m0=6.7×10^-31 kg Rest mass energy E=m0C2 C=3×10^8 m/s
Q: Suppose that you have found a way to convert the rest energy of any type of matter directly to…
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Q: The very massive Higgs particle (mass 125 GeV/c2) is created when two protons traveling at equally…
A: Solution: Given that the minimum kinetic energy of each proton is 62.5 GeV and the rest mass-energy…
Q: While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to…
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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: A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at…
A: Mass of deuteron m = 3.34×10-27 kg Speed of deuteron v = 0.950c
Q: 06 (a) A stationary particle 1 decays into particles 2 and 3, which move off with equal but…
A: The conservation of energy,
Q: One possible decay mode of the neutral kaon is K0→π0+π0. The rest energiesof the K0andπ0are 498 MeV…
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Q: Suppose that you have found a way to convert the rest energy of any type of matter directly to…
A: The volume of the water sufficient to slowly push the moon away from the earth is 5.812 liters.
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- Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 85.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.90 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 x 10²² kg, and the separation of the Earth and Moon is deM = 3.84 × 10% m. water: LitersDerive 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.Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.
- The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6 10-8 s. (a) If the meson moves with a speed of 0.94c, what is its mean lifetime as measured by an observer on Earth? (b) What is the average distance it travels before decaying, as measured by an observer on Earth? (c) What distance would it travel if time dilation did not occur?The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino. Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino. The electron has a mass of 9.11x 10-31 kg and a speed of 5.5 x107 m/s. While the anti neutrino has a momentum of 8.5x10-24 kg-m/s. If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.41. It is desired to create a particle of mass 9700 MeV/c- in a head-on collision between a proton and an antiproton (each having a mass of 938.3 MeV/c²) traveling at the same speed. What speed is necessary for this to occur? 1² to an we Tithin
- a) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x 10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two A mesons emerge at equal angles to the original K° direction. Calculate the kinetic energy of each T meson and the opening angle between them. The mass of a 7 meson is 139.57 MeV/c2.What is the kinetic energy in MeV of a π -meson that lives 1.40×10−16 s as measured in the laboratory, and 0.840×10−16 s when at rest relative to an observer, given that its rest energy is 135 MeV?HW Q.5