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/s
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- A particle has a mass of 1.88E-28 kg and it travels at a speed of 0.843c, where c is the speed of light. What is the energy of the particle, expressed in MeV. Keep three significant digitsSuppose 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.dx 4x 3. In so-called "natural units" (which is just a sneaky way to let us ignore a bunch of constants), the relativistic kinetic energy of a rigid body is given by the formula 1 КЕ — т V1 – v2 where m is the rest mass of the body and v is its relative speed. Alien scientists on a space station are observing an object falling into a black hole. As the object falls, it is disintegrating, losing mass at a rate of 3 (so its mass is changing at a rate of -3). How fast is the kinetic energy of the main part of the object changing when its mass is 20, its velocity is .7, and it is accelerating at a rate of .1 (remember that acceleration is the derivative of velocity with respect to time: a = dt 1Note that this formula does not make sense when v > 1. That is because in natural units, a speed of 1 corresponds to the speed of light, and nothing with positive rest mass can go that fast.
- The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.57 ✕ 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be (in s)?Consider a proton that has a momentum of 1.00 kg·m/s. Part (a) Calculate the relativistic parameter γ for the proton. You will have to use a 2.998 × 108 for the speed of light to get this answer correct. Part (b) What is its speed, in meters per second? Such protons form a rare component of cosmic radiation with uncertain origins.Calculate the ratio of the relativistic kinetic energy to the classical energy kinetic energy for an electron (mass = 9.109x10^-31 kg) moving with constant speed of 0.75c.