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5. Consider the proton to be a tiny, thin spherical shell of radius Ro, mass mp and charge e. Assume that the charge and the mass of the proton are uniformly distributed over the shell. Calculate the escape velocity of the electron which is located just above the surface of the shell.

5. Consider the proton to be a tiny, thin spherical shell of radius Ro, mass mp and charge e. Assume that the charge and the mass of the proton are uniformly distributed over the shell. Calculate the escape velocity of the electron which is located just above the surface of the shell.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can you please solve problem 5, thanks!

Some Simple Problems from Chapter 22 Wu Name: Dumon DUE: Sept. 9, 2022 by 12 p.m. 1. What must be the magnitude of a uniform electric field, in order that an electron initially at rest gets an acceleration of 2x10¹2 m/s2? If the electron is initially at N rest how long will it take to get a speed of 5x106 m/s? Ans. in MKSA: 11.4 2.5x10-6 s 2. By how much will the acceleration due to gravity be changed for a charged mass of 5 g falling downward towards the surface of the earth? The mass is charged with a charge of 4x10-8 C. The magnitude of the electric field on the surface of the earth is 100 N/C. Ans. in MKSA: (a-g) = 0.8x10-³ m 2 S 3. At 2 opposite vertices of a square with sides of length a = 50 cm are located identical positive charges each of charge 108 esu and at the third vertex is a charge of the same magnitude but opposite sign. Calculate the magnitude of the electric field at the fourth vertex. Ans. in MKSA: E=(2√2-1) 2a² 4. At the vertices of a hexagon with sides of length, a, are located charges identical in magnitude but with charges at successive vertices alternating in sign. Calculate the magnitude of the electric field at the center of the hexagon. 5. Consider the proton to be a tiny, thin spherical shell of radius Ro, mass mp and charge e. Assume that the charge and the mass of the proton are uniformly distributed over the shell. Calculate the escape velocity of the electron which is located just above the surface of the shell. 6. Repeat problem 5 assuming that the charge and the mass of the proton are uniformly distributed throughout the volume inside the sphere of radius Ro. 7. Determine the velocity of the electron in a positronium atom which is shown in the figure. Assume the radius of the positronium atom is 2 x 5.3 x 10 cm
Transcribed Image Text:Some Simple Problems from Chapter 22 Wu Name: Dumon DUE: Sept. 9, 2022 by 12 p.m. 1. What must be the magnitude of a uniform electric field, in order that an electron initially at rest gets an acceleration of 2x10¹2 m/s2? If the electron is initially at N rest how long will it take to get a speed of 5x106 m/s? Ans. in MKSA: 11.4 2.5x10-6 s 2. By how much will the acceleration due to gravity be changed for a charged mass of 5 g falling downward towards the surface of the earth? The mass is charged with a charge of 4x10-8 C. The magnitude of the electric field on the surface of the earth is 100 N/C. Ans. in MKSA: (a-g) = 0.8x10-³ m 2 S 3. At 2 opposite vertices of a square with sides of length a = 50 cm are located identical positive charges each of charge 108 esu and at the third vertex is a charge of the same magnitude but opposite sign. Calculate the magnitude of the electric field at the fourth vertex. Ans. in MKSA: E=(2√2-1) 2a² 4. At the vertices of a hexagon with sides of length, a, are located charges identical in magnitude but with charges at successive vertices alternating in sign. Calculate the magnitude of the electric field at the center of the hexagon. 5. Consider the proton to be a tiny, thin spherical shell of radius Ro, mass mp and charge e. Assume that the charge and the mass of the proton are uniformly distributed over the shell. Calculate the escape velocity of the electron which is located just above the surface of the shell. 6. Repeat problem 5 assuming that the charge and the mass of the proton are uniformly distributed throughout the volume inside the sphere of radius Ro. 7. Determine the velocity of the electron in a positronium atom which is shown in the figure. Assume the radius of the positronium atom is 2 x 5.3 x 10 cm
* Velocity p Positron Electron Direction of motion 8. What is the total angular momentum about the center of the positronium atom in Problem 7? 9. What is the force on the electron due to the positron? (Give both magnitude and direction.) 10. What is the electric potential energy of the positronium atom?
Transcribed Image Text:* Velocity p Positron Electron Direction of motion 8. What is the total angular momentum about the center of the positronium atom in Problem 7? 9. What is the force on the electron due to the positron? (Give both magnitude and direction.) 10. What is the electric potential energy of the positronium atom?
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