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$\bullet$ $\bullet$ (a) An electron is moving east in a uniform electric field of1.50 $\mathrm{N} / \mathrm{C}$ directed to the west. At point $A$ , the velocity of theelectron is $4.50 \times 10^{5} \mathrm{m} / \mathrm{s}$ toward the east. What is the speedof the electron when it reaches point $B, 0.375 \mathrm{m}$ east of point $A$ ?(b) A proton is moving in the uniform electric field of part (a).At point $A$ , the velocity of the proton is $1.90 \times 10^{4} \mathrm{m} / \mathrm{s},$ east.What is the speed of the proton at point $B$ ?

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Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Cornell University

Hope College

University of Sheffield

University of Winnipeg

Lectures

13:02

In physics, potential energy is the energy possessed by a body or a system due to its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units (SI) is the joule (J). One joule is the energy expended (or work done) in applying a force of one newton through a distance of one metre (1 newton metre). The term potential energy was introduced by the 19th century Scottish engineer and physicist William Rankine, although it has links to Greek philosopher Aristotle's concepts of potentiality. Potential energy is associated with forces that act on a body in a way that the work done by these forces on the body depends only on the initial and final positions of the body, and not on the specific path between them. These forces, that are called potential forces, can be represented at every point in space by vectors expressed as gradients of a scalar function called potential. Potential energy is the energy of an object. It is the energy by virtue of a position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force that works against the force field of the potential. This work is stored in the field, which is said to be stored as potential energy.

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

11:45

(a) An electron is moving …

10:14

0:00

03:21

An electron enters a regio…

07:43

A proton and an electron a…

09:40

A proton is traveling hori…

08:25

(a) A proton, traveling wi…

The first step to doing this problem is to figure out what the forces due to the electric field. And so we're going to use the equation. F is equal to absolute value of the charge times the electric field. In the case of an electron, the force will be opposite to the electric field, since the charge will be negative. And so it will actually speed up the electrons along this path here that we're focused on Blake and Q is 1.602 times 10 to the minus sign team grooms and then multiply by the electric field they give us, which is 1.5 and even super cool. Thanks. I get a force of two point for 03 times 10 2,000,000 19 noons. And again, this is positive because if the positive extraction is this way, this force will speed up the electron. After we find the force, we can calculate the acceleration by taking the force and divided by the mass. In this case, we're divided by the mass of the electron And so playing this and this in gives us exhilaration of positive. 2.638 times 10 to the 11 meters per second squared. So an extremely fast acceleration. Now that we know the exploration, we can do some cinematic equation to figure out what the final velocity is. So if the initial velocity is positive for 0.5 times 10 to the fifth, I'm just gonna avoid using units because they're all in sa units Already. The celebration is here. We know the distance. Travel explain. Sex not is equal to 0.375 and we want to figure out what the final velocity is to do this we're going to use the cannon back equation. He squared is equal to be not square plus two a x Mind sex. Not solving this for me. Give 6.33 times 10 to the fifth, and I'll add us here. This is a means for second. And so that completes a and we move on to party in part B. We're going to pretty much do the same thing, except the force is now going to be negative, says the charges. Now positive. So the charge would be The force will be along the electric field line, which is pointing opposite to the initial motion so we have a negative asset value of Q times. He and I just added in this negative because of what I just said regarding the Proton. And then now I'm just going to play in the charge of the proton and the electric field. I get negative 2.4 03 times 10 to the negative 19 years. This lets us calculate the acceleration as the force over the mass of a proton. And so this gives negative one point for 36 times, 10 to the eight meters per second squared. And then now I could do the same thing. Vienna is 1.9 times 10 to the fourth. The acceleration is here. Then this is travel exploits. Sex not is equal to 0.375 and we won't figure out what the final velocity is. So we're going to use the same chemical equation that were used in party. This guy right here, we're going to solve for the final velocity. And when we do that, we get 1.59 times 10 to the fourth. And so you see that it's slowed down in this case because the forces opposing the original velocity this is a minister second by life and that completes the answer

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