The total annual energy consumption in the United States is about 8 × 10¹⁹ J. How much mass would have to be converted to energy to fuel this need?
Q: A particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer…
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Q: The mass of an electron is 9.109 381 88 x 10-31kg. Find (a) y and (b) 3 for an electron with kinetic…
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Q: A particle has γ=18,399. a) Calculate c-v in m/s. (I would have asked for 1 - v/c, making the…
A: Given: a) γ=18,399 b) momentum, P = 1,739 MeV/c
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- What is the rest energy that corresponds to a small amount of table salt (mass = 0.54 grams)? Recall that 1 g = 10-3³ kg. E = J Note: you can enter your answer using exponential notation using "E": for example, 1.23 x 1012 i- expressed as 1.23E12.A spacecraft leaves Earth at a constant speed of 0.69c as measured by an observer on Earth. It heads towards a distant star system. The star system is 43.94 lightyears away from Earth, as measured by an observer on Earth. When the spacecraft leaves Earth, the captain of the crew is 24.5 years old. (a) What is the Lorentz γ factor to 3 decimal place precision? (b) What is time taken, in years (to one decimal place precision), to reach the star system as measured by an observer on Earth? (c) What is the distance, in lightyears (to one decimal place precision), the spacecraft travels to reach the star system as measured by the crew of the spacecraft? (d) How old is the captain of the crew when the spacecraft arrives at the star system (use one decimal place precision, and assume the captain can live well beyond normal range of years for a human)? (e) As the spacecraft arrives at the star system, it sends a radio signal back to Earth. Assuming the spacecraft never stops and continues past…The very massive Higgs particle (mass 125 GeV/c2) is created when two protons traveling at equally high speeds but in opposite directions collide head‑on. The mass of a proton is 938.27 MeV/c2. In order to make a Higgs particle when they collide, each proton must have a minimum kinetic energy of 62.5 GeV. What is the minimum total energy E(min) of each proton? E(min) = ? eV In terms of the speed c of light, what speed v is each proton traveling? Calculate your answer to five significant figures. v = ? c
- In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pu = (E, pi ), where E is the energy of the particle and pi is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by −p · uobs, where pu is the momentum of the particle and uuobs is the velocity of the observer in those coordinates.A particle has γ=9,681. Calculate c-v in m/s. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.There is a free neutron that is at rest. It decays into a proton (mass energy is 938.30 MeV), an electron (mass energy is 0.50 MeV, and an antineutrino (mass energy is negligible on the scale of MeV). What is the total kinetic energy of the decay products?
- A particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and −0.861c, respectively. Find the masses of the fragments in kg. (Hint: Conserve both mass–energy and momentum.)a) If the mass lost in a nuclear fission reaction is 15 grams, how much energy is released? b) An proton has a mass of 1.6 x 10-27 kg. How much energy would be released if the mass of one proton was lost in a nuclear fission reaction?
- 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.Compute the kinetic energy of a proton (mass 1.67 x 10-27 kg) using both the nonrelativis- tic and relativistic expressions (a) 8.0 x 107 m/s and (b) 2.858 m/sQuestion in the Attachments