A particle has a rest mass of 6.15 kg and a momentum of 4.24 X kg-m/s. Determine the total relativistic energy E of the particle. E = Find the ratio of the particle's relativistic kinetic energy K to its rest energy Eest -
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- At what speed (in m/s) is the magnitude of a particle's relativistic momentum 20.8% larger than its classical value? HINT m/sIn 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. ×An elementary particle of mass 9.5 x 10-27 kg is moving at speed 9 x 107 m/s. (A) Its relativistic momentum in terms of its classical momentum (B) Its KE = . (C) Its rest energy = . (D) Its total energy
- The mass of a proton is 1.67 × 10-27 kg. A. Find the rest energy in joules. B. Find the rest energy in mega-electron volts.measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…A proton and anti-proton with rest energy of, E0 - 931 MEV/C“ was traveling in opposite direction at a speed of, V = 0.9995*C (where C is a speed of light equal to 3.0 * 108 m/s). After travelling in a vacuum chamber, the two particles collide head on to produce a new massive particle in the center of the chamber What is the new kinetic energy the proton and anti-proton in Giga electron Volt, after reaching the new speed? OK
- Calculate the kinetic energy of on electron whose momentum is 2 Mev/c. b) Calculate the Velocfty of electron whose kinetic energy is 2 Mev.dp" qF" u' (v summation implied), dr Verify that the relativistic force law where E, E, cB. -cB, E. E, %3D Е, -сВ. Е. сВ, -сВ, cBx yields the relativistic Lorentz force equation d(ymv) =q(E+v×B) q(È +vx. dt when evaluated on the space components a = 1,2,3.these are all incorrect