Chapter 9, Problem 9.35P

(a) Two electrons (rest mass = 0.51 MeV/c2), each with a kinetic energy of 2.78 MeV, collide head-on to produce a new particle at rest. What is the rest energy of this new particle? (b) What is the momentum of a proton (rest mass = 938.3 MeV/c2) that has a kinetic energy of 750 MeV?

Answer without using the momentum flux

An electron has a momentum with magnitude four times the magnitude of its classical momentum. (a) Find the speed of the electron. Answer in c (b) How would your result change if the particle were a proton? - Multiple Choice  The result would be larger. The result would be smaller.     The result would remain the same.

Albert Einstein is pondering how to write his (soonto-be-famous) equation. He knows that energy E is a function of mass m and the speed of light c, but he doesn't know the functional relationship (E = m2c? E = mc4?). Pretend that Albert knows nothing about dimensional analysis, but since you are taking a fluid mechanics class, you help Albert come up with his equation. Use the step-by-step method of repeating variables to generate a dimensionless relationship between these parameters, showing all of your work. Compare this to Einstein's famous equation—does dimensional analysis give you the correct form of the equation?

As part of his discovery of the neutron in 1932, James Chadwick determined the mass of the newly identified particle by firing a beam of fast neutrons, all having the same speed, at two different targets and measuring the maximum recoil speeds of the target nuclei. The maximum speeds arise when an elastic head-on collision occurs between a neutronand a stationary target nucleus. (a) Represent the masses and final speeds of the two target nuclei as m1, υ1, m2, and υ2 and assume Newtonian mechanics applies. Show that the neutron mass can be calculated from the equation                                   mn = (m1υ1 - m2υ2)/(υ2 - υ1)(b) Chadwick directed a beam of neutrons (produced from a nuclear reaction) on paraffin, which contains hydrogen. The maximum speed of the protons ejected was found to be 3.30 x 107 m/s. Because the velocity of the neutrons could not be determined directly, a second experiment was performed using neutrons from the same source and nitrogen nuclei asthe target.…

At what speed is a particle’s momentum twice its Newtonian value?

Find the real component if the complex number a + bi is raised to m if a = 7.4, b = 4, and m = 5.