2. The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = S F dx. Writing Newton's second law as F = dp/dt, show that W = Jv dp and integrate by parts using the relativistic momentum to obtain mc K = mc?
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![2. The work-energy theorem relates the change in kinetic energy of a particle to the
work done on it by an external force: AK = W = SF dx. Writing Newton's second law
as F = dp/dt, show that W = Jv dp and integrate by parts
using the relativistic momentum to obtain
mc
mc?
Vī – v² /c²
K = -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad408cc-3d1f-46c2-87d1-dc8d41626fae%2F7a5c45e6-195f-4200-9afb-0f97c020feae%2Flcw1jpa_processed.jpeg&w=3840&q=75)
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- An electron moves in a detector with a relativistic energy of 24 MeV. The electron takes 203.6 s to pass through the detector (measured in the detector frame of reference). In which frame of reference do we measure the proper time? A) The electron frame of reference B) None of these answers C) The detector's repository D) Always in the teacher's repository3. Please answer these questions well explained. Scientists observe an electron travelling at 0.98 c. A. Calculates the total energy of the electron, in MeV, as measured by the scientists. B. Determines the kinetic energy of the electron, in MeV, as measured by the Scientists.2. Twin sisters, Anna and Zelma, are twenty years old. Anna stays on the Earth while Zelma gets on a 20.0-meter-long spaceship that travels at constant speed 0.98c to a distant star. The star is 9.00 lightyears away as measured by Anna. Zelma immediately turns around and travels back to the Earth at the same speed of 0.98c. a) What length does Anna measure for the spaceship while it is moving? b) Upon Zelma's return, which twin is seen to be older now on Earth and what is the age difference?
- Particle X has a speed of 0.850 c and a momentum of 8.85×10-19 kgm/s. What is the mass of the particle? 1.8286*10^27kg Hints: The classical momentum of an object is the product of its mass and its velocity. How does the relativistic momentum look like compared to the classical momentum? Submit Answer Incorrect. Tries 3/99 Previous Tries What is the rest energy of the particle? Tries 0/99 What is the kinetic energy of the particle? Submit Answer Tries 0/99 What is the total energy of the particle? Submit Answer Tries 0/99 Submit Answer1. If the velocity of your spaceship goes from 0.3c to 0.6c, then your mass will increase bya. 19%b. 38%c. 74%d. 100%e. 200%Question Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each lump has a mass of 0.500 kg and is moving at a speed of 0.930c. The two lumps collide and stick together. Answer the questions, keeping in mind that relativistic effects cannot be neglected in this case. What is the final speed vf of the combined lump, expressed as a fraction of c? Uf = What is the final mass mf of the combined lump immediately after the collision, assuming that there has not yet been significant energy loss due to radiation or fragmentation? mf = kg
- 9. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 5.50 relativistic momentum? t kg.m/s 60 ssf60 s ssf60 ssfot 09588 098 10-11 J. What is their ssf60 ssfo 093Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station at a constant speed of 2.6 x 108 m/s with respect to the I.S.S. When an observer on the I.S.S. measures the moving vehicle, her measurement of the space vehicle length is 25.0 m. a) Determine the relativistic mass of the space vehicle. b) Determine the length of the space vehicle as measured by an astronaut on the space vehicle.In Lorentz transformation appears the Lorentz factor denoted by the Greek letter Y. This Lorentz factor Select one: a. depends on the relative speed between two inertial reference frames. b. depends on the location of the event as seen by two inertial reference frames. depends on the velocity of the particle on which we want to perform the transformation. c. d. depends on the speed of the particle on which we want to perform the transformation. e. is an invariant constant of nature. ⚫ f. depends on the relative velocity between two inertial reference frames. ×
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