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$\bullet$ A 3.25 g bullet picks up an electric charge of 1.65$\mu C$ as it travels down the barrel of a rifle. It leaves the barrel at a speed of 425 $\mathrm{m} / \mathrm{s}$ , traveling perpendicular to the earth's magnetic field, which has a magnitude of $5.50 \times 10^{-4} \mathrm{T} .$ Calculate (a) the magnitude of the magnetic force on the bullet and (b) the magnitude of the bullet's acceleration due to the magnetic force at the instant it leaves the rifle barrel.

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a) $3.85 \times 10^{-7} \mathrm{N}$b) $1.18 \times 10^{-4} \mathrm{m} / \mathrm{s}^{2}$

Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 20

Magnetic Field and Magnetic Force

Motion Along a Straight Line

Motion in 2d or 3d

Electric Charge and Electric Field

Gauss's Law

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

Cornell University

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

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.

04:28

A magnetic field is a mathematical description of the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H. The term "magnetic field" is often used to refer to the B field. In a vacuum, B and H are the same, whereas in a material medium, B is a component of H. In the latter case, H is the "magnetic field strength", and B is the "magnetic flux".

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A 15.0 -g bullet is fired …

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(III) A 3.40-g bullet move…

01:20

A 5.0-g bullet leaves the …

05:47

A $75.0-\mathrm{g}$ bullet…

02:17

A rifle weighs $50.0 \math…

06:10

(III) A 3.40 -g bullet mov…

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15:30

An accelerating voltage of…

So here we have a bullet that picked up a charge and is now reacting to Earth's magnetic field. So the magnitude of the magnetic field is 5.5 times 10 to the native fourth Tesla's. We have the velocity of the bullet at 425 meters per second. We have the mass of the bullet at 3.25 grams or we can say point zero 03 to 5 kilograms. And then we have a charge equaling 1.65 times 10 to the negative sixth. Cool ums. So for party, we're trying to find thief force of the magnetic, the magnetic force, the magnitude of the magnetic force s So this is going to be equal to the absolute value of the charge times the velocity times, the magnitude of the magnetic field times sign If I we know that this term is going to be equal to one. So we simply have 1.65 times 10 to the negative six cool arms times 425 meters per second times 5.5 times 10 to the negative forthe Tesla's. And we have a magnetic force equal two, 3.86 times, 10 to the negative seventh Nunes. So this would be our answer for part. And then Part B is asking us to find the exploration so we can say that the force net is going to be equal to the mass times acceleration. And this is simply going to be equal to the magnetic force. So that acceleration for part is going to be the is going to be equal to the magnetic. Forced to fight upon the mass, we found the magnetic force in the previous part, so we simply have 3.87 other 3.86 time's tense and negative seventh Newton's and then this will be divided by 0.3 to 5 kilograms. And we have that The acceleration of the bullet is equally 1.19 times 10 to the negative fourth meters per second squared. So this would be your answer for a party that is the end of the solution. Thank you for watching

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