The rest energy of an electron is 511 keV. What's the approxi- mate speed of an electron whose total energy is 1 GeV? (Note:
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: lectron (rest mass m = 9.11x10 -31 kg ) has total energy that is 4.95 times its rest energy. What is…
A: Givenm=9.11×10-31 kg Total energyE that is 4.95 times its rest energyEo.E=4.95 Eo
Q: A proton with rest energy of 938 MeV has a total energy of 1400 MeV. (a) What is its speed? (b)…
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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: A proton moves with a speed of 0.975c. (a) Calculate its rest energy. MeV (b) Calculate its total…
A: Given:- A proton moves with a speed of 0.975 c. (a) Calculate its rest energy. MeV…
Q: Calculate the kinetic energy of a proton whose momentum is 2 MeV/c
A: Given Momentum of proton p = 2 MeV/c To find Kinetic energy of proton Solution E = p2/2m p = 2 MeV…
Q: 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What…
A: Kinetic energy of protons is Mass of proton is Note:Find:Speed of proton in terms of speed of light.
Q: An electron is accelerated through a potential difference of 1.5 MV and hence gains 1.5 MeV of…
A: Given data The potential difference is given as V = 1.5 MV. The energy gain is given as E = 1.5…
Q: A proton moves with a speed if .90c. what is the rest energy in MeV
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Q: Protons in an accelerator at the Fermi National Laboratory near Chicago are accelerated to a total…
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Q: A proton is moving at velocity of 0.65c. Estimate its momentum.
A: When objects get closer to the speed of light their mechanical properties like the momentum will be…
Q: Calculate the mass and speed of an elementary particle having kinetic energy 1.8 MeV. Given rest…
A: Rest mass = 1.6×10-29kg K.E = 1.8Mev =2.88×10-13 j
Q: How much work must be done to increase the speed of an electron from rest to (a) 0.566c, (b) 0.918c,…
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Q: A proton has a kinetic energy of 128MeV What is the speed of this electron? (as a fraction of c)
A: Protonkinetic energy (KE)=128 MeV
Q: What is the rest energy of a positive kaon, given its mass is 8.80 ✕ 10−28 kg? Give your answer in…
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Q: A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at…
A: Rest mass of a deuteron is Speed of deuteron is Note:Speed of light is Find:(a) Rest energy of…
Q: Imagine a proton with a velocity of 0.006c. What is the velocity of an electron with the same…
A: Lets assume the mass of the electron is me then the mass of the proton is 1836mevelocity of the…
Q: An electron with an inertial energy of 0.511MeV is moving with a velocity v = 0.6c relative to an…
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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: D a) Suppose your normal resting heart rate is 60 beats per minute. You board a space ship, which…
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Q: muon has rest energy 105 MeV. What is a muon's kinetic energy when its speed is 0.95c?A) 37 MeVB) 47…
A: In this problem, we are given the rest energy of a muon, which is 105 MeV. We are also given the…
Q: The neutron has a mass of 1.67 ✕ 10−27 kg. Consider a neutron moving with a speed of 0.910c. (Enter…
A: Given:- The proton has a mass m = 1.67 ✕ 10−27 kg a proton moving with a speed of 0.910c
Q: In a proton accelerating machine, these particles in a beam move almost simultaneously speed of…
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Q: Suppose there is a proton with a velocity of 0.006 c. What is the speed of this proton and an…
A: proton velocity, v=0.006 c The speed of the proton will be v=0.006 c=0.006×3×108=1.8×106 m/s Total…
Q: A proton in a large accelerator has a kinetic energy of 175 GeV. (a) Compare this kinetic energy to…
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Q: If a proton has a kinetic energy of 1.000 GeV, what is its momentum? (m, Mev) = 938.0 MeV/c2 1 Gev =…
A: Kinetic energy, KE =1 GeV=1000 MeV=103 MeV Mass of proton, mp=938 MeV/c2
Q: An unknown particle X decays very quickly into a neutron (m = 940 MeV/c2) with momentum p = (1000…
A: Mass of neutron mn = 940 MeV/c2 Momentum of neutron pn = (1000 MeV/c, 0, 0) Mass of positively…
Q: -The relativistic total energy of a proton (E₁=938 MeV) moving at a speed of V=0.86c is 1580 Mev O…
A: Given The energy of the proton E0 = 938 MeV The velocity of the proton v = 0.86 c Find the…
Q: A proton moves with a speed of 0.870c. Calculate its rest energy. 878 MeV 939 MeV
A: Speed, v = 0.870cMass of proton, m = 1.67×10-27 kilogramsSpeed of light,, v = 0.870cRest energy is…
Q: A particle at rest decays into two corfu particles, each with a mass of 200.0 MeV/c². One of the…
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Q: An electron beam accelerates to a total energy of 15.33 GeV in a 3km linear accelerator. a) What is…
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Q: Chapter 37, Problem 045 In a high-energy collision between a cosmic-ray particle and a particle near…
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Q: What is the speed of an electron having same kinetic energy with a proton with speed 0.006c?
A: The relativistic kinetic energy can be given using the expression, E=mc21-v2/c2-mc2
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: 8. An electron travels at a speed of 8.80 × 9.11 × 10-³1 kg) MeV 107 m/s. What is its total energy?…
A: Given, The speed of the electron, v=8.80×107 m/s The mass of elctron,me=9.11×10-31 Kg
Q: 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What…
A:
Q: 3 J = (the rest energy is 3 c2 A spacecraft moves at a speed of ().8c relative to Earth, and shots a…
A: Step 1: Step 2: Step 3: Step 4:
Q: A proton moves with a speed of 0.935c. (a) Calculate its rest energy. MeV (b) Calculate its total…
A:
- As per special relativity time, length, and other physical properties change for an object that is moving. The Lorentz factor or Lorentz term is used to express the change in such properties.
- The Lorentz factor is given by,
Here v is the relative velocity between inertial reference frames and c is the speed of light.
- The energy of a particle including the relativistic correction will be,
Here γ is the Lorentz factor and mc2 is the rest mass energy of the particle.
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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 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.Six identical particles have a speed 2m/s except for the last ( which is the seventh) particle which has a speed of 4m/s. What is the vavg of these particles?What is the speed of an electron whose kinetic energyis 1.12 MeV?
- Two electrons, A and B are approaching each other along a common straight line. Each has a constant speed of 0.6c as measured in the laboratory. What is the total energy of electron B as measured in the rest frame of A? Electron rest mass = 0.51 MeV/c. a) 3.1 MeV b) 1.1 MeV c) 6.3 MeV d) 0.7 MeV e) 5.4 MeV f) 2.3 MeV12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.Consider a proton moving with speed = 0.94 c. (c is the speed of light.) What is the kinetic energy, in MeV? (in MeV) OA: 1160 OB: 1449 OC: 1812 OD: 2265 OE: 2831 OF: 3539 OG: 4423 OH: 5529
- How much work must be done to increase the speed of an electron from rest to (a) 0.436c, (b) 0.967c, and (c) 0.9961c?In a nuclear reaction two identical particles are created,traveling in opposite directions. If the speed of each particleis 0.82c, relative to the laboratory frame of reference, whatis one particle’s speed relative to the other particle?In a collider two protons are accelerated until they have kinetic energies of 1000 MeV (as seen in the lab). The pair is then split and brought around circular paths so that they are directed at each other. What speed of approach would one proton see the other as having? The mass of a proton is 1.673x10-27 kg (or 1.007276 u), and the rest mass energy of a proton is 938.3 MeV. (Speed is a scalar, so your answer will not need a direction.) K= 1000 MeV K = 1000 MeV
- What are (a) K, (b) E, and (c) p (in GeV/c) for a proton moving at speed 0.990c? What are (d) K, (e) E, and (f) p (in MeV/c) for an electron moving at speed 0.990c?The neutron has a mass of 1.67 ✕ 10−27 kg. Consider a neutron moving with a speed of 0.960c. (Enter your answer in GeV.) (a) What is its rest energy? GeV (b) What is its total energy? GeV (c) What is its kinetic energy? GeVA proton has an energy of 1 TeV. How fast is the proton moving? For simplicity, take mc² = 1 GeV.