Explanation Write the energy conservation principle. E sys,f = E sys,i + W surr (I) Here, E sys,f is the final energy of the system, E sys,i is the initial energy of the system and W surr is the work done by the surroundings. Write the equation for the initial energy of the system. E sys,i = ( m p c 2 + K p ) + ( m e c 2 + K e ) + K ν ¯ Here, m p is the mass of the proton, c is the speed of light, K p is the kinetic energy of the proton, m e is the mass of the electron, K e is the kinetic energy of the electron and K ν ¯ is the kinetic energy of the anti-neutrino. Write the equation for the final energy of the system. E sys,f = m N c 2 + K N Here, m N is the mass of the neutron and K N is the kinetic energy of the neutron. Put the above two equations in equation (I). ( m p c 2 + K p ) + ( m e c 2 + K e ) + K ν ¯ = m N c 2 + K N + W surr No work is done by the surroundings. Substitute 0 for W surr in the above equation. ( m p c 2 + K p ) + ( m e c 2 + K e ) + K ν ¯ = m N c 2 + K N + 0 ( m p c 2 + K p ) + ( m e c 2 + K e ) + K ν ¯ = m N c 2 + K N (II) Conclusion: The value of m p c 2 is 938

4th Edition

ISBN: 9781118875865

Author: Ruth W. Chabay, Bruce A. Sherwood

Publisher: WILEY

See similar textbooks

Concept explainers

Nuclear interactions

In nature, there are certain rules and standards for an interaction. These interactions are universally accepted. There are four types of interactions:

Question

Chapter 6.5, Problem 8CP

To determine

The fraction of the original neutron’s rest energy that is converted into kinetic energy.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.4, Problem 7CP

Chapter 6.7, Problem 9CP

Chapter 6 Solutions

Matter and Interactions

Ch. 6.2 - An electron has mass 9 × 10−31 kg. If the...Ch. 6.2 - Prob. 2CP Ch. 6.3 - A paper airplane flies from position ⟨6, 10, −3⟩ m...Ch. 6.3 - In each of the following cases state whether the...Ch. 6.3 - You push a heavy crate out of a carpeted room and...Ch. 6.4 - EXAMPLE Figure 6.18 Throwing a ball. Throwing a...Ch. 6.4 - In the preceding example, at the final speed,...Ch. 6.5 - Prob. 8CP Ch. 6.7 - Prob. 9CP Ch. 6.8 - Prob. 10CP

Ch. 6.8 - Prob. 11CP Ch. 6.9 - Prob. 12CP Ch. 6.10 - Prob. 13CP Ch. 6.10 - Prob. 14CP Ch. 6.10 - Prob. 15CP Ch. 6.12 - Prob. 16CP Ch. 6.12 - Prob. 17CP Ch. 6.17 - Prob. 18CP Ch. 6 - Prob. 1Q Ch. 6 - Give brief explanations for your answers to each...Ch. 6 - You pull a block of mass m across a frictionless...Ch. 6 - One often hears the statement, “Nuclear energy...Ch. 6 - Figure 6.76 shows the path of a comet orbiting a...Ch. 6 - Figure 6.77 is a graph of the energy of a system...Ch. 6 - A particle moves inside a circular glass tube...Ch. 6 - Show the validity of the relation when m ≠ 0, by...Ch. 6 - It is not very difficult to accelerate an electron...Ch. 6 - A pitcher can throw a baseball at about 100 mi/h...Ch. 6 - What is the speed of an electron whose total...Ch. 6 - The point of this question is to compare rest...Ch. 6 - The point of this question is to compare rest...Ch. 6 - A runner whose mass is 60 kg runs in the +x...Ch. 6 - A baseball of mass 144 g has a velocity of ⟨22,...Ch. 6 - One mole of helium atoms has a mass of 4 grams. If...Ch. 6 - You throw a ball of mass 160 g upward (Figure...Ch. 6 - A fan cart of mass 0.8 kg initially has a velocity...Ch. 6 - You push a crate 3 m across the floor with a 40 N...Ch. 6 - You pull your little sister across a flat snowy...Ch. 6 - A 2-kg ball rolls off a 30-m-high cliff, and lands...Ch. 6 - A boat is coasting toward a dock you’re standing...Ch. 6 - A jar of honey with a mass of 0.5 kg is nudged off...Ch. 6 - A constant force ⟨23, −12, 32⟩ N acts through a...Ch. 6 - One end of a spring whose spring constant is 20...Ch. 6 - An electron traveling through a curving wire in an...Ch. 6 - You bring a boat toward the dock by pulling on a...Ch. 6 - You push a box out of a carpeted room and along a...Ch. 6 - A ball of mass 0.7 kg falls downward, as shown in...Ch. 6 - A lithium nucleus has mass 5.1 × 10−27 kg. If its...Ch. 6 - A space probe in outer space has a mass of 111 kg,...Ch. 6 - An object with mass 100 kg moved in outer space....Ch. 6 - Outside the space shuttle, you and a friend pull...Ch. 6 - A crate with a mass of 100 kg glides through a...Ch. 6 - An object with mass 120 kg moved in outer space...Ch. 6 - An object with mass 120 kg moved in outer space....Ch. 6 - Jack and Jill are maneuvering a 3000 kg boat near...Ch. 6 - An electron traveling at a speed 0.99c encounters...Ch. 6 - A mass of 0.12 kg hangs from a vertical spring in...Ch. 6 - Prob. 43P Ch. 6 - A proton (1.6726 × 10−27 kg) and a neutron (1.6749...Ch. 6 - Many heavy nuclei undergo spontaneous “alpha...Ch. 6 - You throw a ball straight up, and it reaches a...Ch. 6 - A 1 kg block rests on the Earth’s surface. How...Ch. 6 - An object with mass 7 kg moves from a location...Ch. 6 - Prob. 52P Ch. 6 - Use energy conservation to find the approximate...Ch. 6 - Under certain conditions the interaction between a...Ch. 6 - (a) A 0.5 kg teddy bear is nudged off a window...Ch. 6 - You throw a ball of mass 1.2 kg straight up. You...Ch. 6 - Suppose that a pitcher can throw a ball straight...Ch. 6 - Prob. 58P Ch. 6 - Prob. 59P Ch. 6 - The escape speed from an asteroid whose radius is...Ch. 6 - The escape speed from a very small asteroid is...Ch. 6 - Prob. 62P Ch. 6 - A spacecraft is coasting toward Mars. The mass of...Ch. 6 - Prob. 64P Ch. 6 - Prob. 65P Ch. 6 - You stand on a spherical asteroid of uniform...Ch. 6 - Prob. 67P Ch. 6 - Prob. 68P Ch. 6 - A pendulum (see Figure 6.84) consists of a very...Ch. 6 - Prob. 70P Ch. 6 - Prob. 71P Ch. 6 - Four protons, each with mass M and charge +e, are...Ch. 6 - Prob. 74P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON