Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 14, Problem 57P
To determine

The expressions for the fraction of the total kinetic energy that is carried by the both masses.

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Review. Consider a nucleus at rest, which then spontane- ously splits into two fragments of masses m, and m,. (a) Show that the fraction of the total kinetic energy carried by frag- ment m, is K, Kot + and the fraction carried by m, is K2 m, m, + m2 Kot assuming relativistic corrections can be ignored. A station- ary 23U nucleus fissions spontaneously into two primary fragments, Br and La. (b) Calculate the disintegration energy. The required atomic masses are 86.920 711 u for 87Br, 148.934 370 u for 149La, and 236.045 562 u for 286U. (c) How is the disintegration energy split between the two pri- mary fragments? (d) Calculate the speed of each fragment immediately after the fission. 57 35 57 92
One of the end stages of stellar life is a neutron star, where matter collapses and electrons combine with protons to form neutrons. Some liken neutron stars to a single gigantic nucleus. Calculate the radius in meters of a neutron star with a mass 3.34 x 1030 kg, treating it as a giant nucleus. Consider the mass of a nucleon 1.675 x 10-27 kg. Your answer should be in the form of N x 104 years.
The unified atomic mass unit, denoted u, is defined to be 1 u = 1.6605 × 10-27 kg. It can be used as an approximation for the average mass of a nucleon in a nucleus, taking the binding energy into account.   How much energy, in megaelectron volts, would you obtain if you completely converted a nucleus of 19 nucleons into free energy?
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