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2. The ratio between the kinetic energy of a particle and its rest mass energy is...
The discovery of the antiproton p (a particle with the same rest energy as a proton, 938 MeV, but with the opposite electric charge) took place in 1956 through the following reaction: p + p → p+p+p+¯ p, in which accelerated protons were incident on a target of protons at rest in the laboratory. The minimum incident kinetic energy needed to produce the reaction is called the threshold kinetic energy, for which the final particles move together as if they...
5. A proton of mass m is accelerated up to a kinetic energy K and then collides with a stationary proton at rest. All that is left after the collision is a new particle of mass M. a. Write out the momentum and energy equations for the collision. b. What is the maximum mass M that can be created in this collision?
A proton synchrotron accelerates protons to a kinetic energy of 533 GeV. At this energy, calculate (a) the Lorentz factor, (b) the speed parameter, and (c) the magnetic field for which the proton orbit has a radius of curvature of 764 m.
A proton (charge le, mass mp) and an alpha particle (charge 2e, mass 4mp) in a mass spectrometer are accelerated from rest through a velocity selector that has an electric field E 103 V/m and magnetic field B- 2.5T. Each of the particles enters a uniform magnetic field B-2.5T, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius rp. and the alpha particle in a circular path ra. Calculate the distance...
In the figure a particle is to be released at rest at point A and then is to be accelerated directly through point B by an electric field. The potential difference between points A and B is 100 V. Which point should be at higher electric potential if the particle is (a) an electron, (b) a proton, and (c) an alpha particle (a nucleus of two protons and two neutrons, 4He)? (d) Compute the kinetic energies of these particles at...
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into the masses of particles produced in the collisions. Consider a collision of two protons that produces two charged kaons. The mass of the proton is mp- 938.3 MeV/c2, and the mass of each kaon is mK 493.7 MeV/c2. The reaction is a) The total energy (kinetic energy and rest energy) and total momentum is conserved. Suppose one of the protons is at rest in...
3. Circular Motion in a Magnetic Field See Figure 2. A particle of charge +e and mass m is accelerated from rest by a potential difference V. The particle then enters a region of uniform magnetic field B perpendicular to the velocity. The particle will undergo uniform circular motion. It instead, the charge is doubled and the mass is quadrupled, while keeping both the potential difference and strength of the magnetic field the same, i) how does the radius of...
A particle has a kinetic energy equal three-quarters its rest mass energy. What is the speed of this particle? (Answer in terms of c)
A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic.
A positive charged particle carries 0.7 JC and moves with a kinetic energy of 0.06 J. It travels through a uniform magnetic field of B = 0.2 T. What is the mass of the particle if it moves in the magnetic field in circular manner with a radius r = 6.6 m? kg