The rest energy of an electron is 0.511 MeV. The rest energy of a proton is 938 MeV. Assume both particles have kinetic energies of 2.00 MeV. Find the speed of (a) the electron and (b) the proton. (c) By what factor does the speed of the electron exceed that of the proton? (d) Repeat the calculations in parts (a) through (c) assuming both particles have kinetic energies of 2 000 MeV.
(a)
Answer to Problem 35P
Explanation of Solution
Given info: The kinetic energy of the electron and proton is
Formula to calculate the total energy of particle is,
Formula to calculate the total energy of the particle is,
Here,
Equate the equation (1) and equation (2).
Formula to calculate the Lorentz factor is,
Substitute
Rearrange the above equation for
Formula to calculate the rest energy of particle is,
Substitute
The speed of the electron is,
Here,
Substitute
Thus, the speed of the electron is
Conclusion:
Therefore, the speed of the electron is
(b)
Answer to Problem 35P
Explanation of Solution
Given info: The kinetic energy of the electron and proton is
From equation (5), the speed of the particle is given as,
The speed of the proton is,
Here,
Substitute
Thus, the speed of the proton is
Conclusion:
Therefore, the speed of the proton is
(c)
Answer to Problem 35P
Answer The factor by which speed of electron exceed that of the proton is
Explanation of Solution
Given info: The kinetic energy of the electron and proton is
The ratio of the speed of the electron and proton is,
Substitute
Thus, the factor by which speed of electron exceed that of the proton is
Conclusion:
Therefore, the factor by which speed of electron exceed that of the proton is
(d)
Answer to Problem 35P
Explanation of Solution
Given info: The kinetic energy of the electron and proton is
The speed of the electron is,
Substitute
The speed of the electron is,
Substitute
The ratio of the speed of the electron and proton is,
Substitute
Thus, the speeds of the electron and proton are
Conclusion:
Therefore, the speeds of the electron and proton are
Want to see more full solutions like this?
Chapter 38 Solutions
PHYSICS FOR SCI. & ENGR(LL W/WEBASSIGN)
- No chatgpt pls will upvotearrow_forwarda cubic foot of argon at 20 degrees celsius is isentropically compressed from 1 atm to 425 KPa. What is the new temperature and density?arrow_forwardCalculate the variance of the calculated accelerations. The free fall height was 1753 mm. The measured release and catch times were: 222.22 800.00 61.11 641.67 0.00 588.89 11.11 588.89 8.33 588.89 11.11 588.89 5.56 586.11 2.78 583.33 Give in the answer window the calculated repeated experiment variance in m/s2.arrow_forward
- How can i solve this if n1 (refractive index of gas) and n2 (refractive index of plastic) is not known. And the brewsters angle isn't knownarrow_forward2. Consider the situation described in problem 1 where light emerges horizontally from ground level. Take k = 0.0020 m' and no = 1.0001 and find at which horizontal distance, x, the ray reaches a height of y = 1.5 m.arrow_forward2-3. Consider the situation of the reflection of a pulse at the interface of two string described in the previous problem. In addition to the net disturbances being equal at the junction, the slope of the net disturbances must also be equal at the junction at all times. Given that p1 = 4.0 g/m, H2 = 9.0 g/m and Aj = 0.50 cm find 2. A, (Answer: -0.10 cm) and 3. Ay. (Answer: 0.40 cm)please I need to show all work step by step problems 2 and 3arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning