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Unreasonable Results (a) Find the charge on a baseball, thrown at 35.0 $\mathrm{m} / \mathrm{s}$ perpendicular to the Earth's $5.00 \times 10^{-5} \mathrm{T}$ field, that experiences a $1.00-\mathrm{N}$ magnetic force. (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?

Part (a): 571 $\mathrm{C}$Part (b): The charge is so huge. Part (c): The force cannot be any near to the $1.00-\mathrm{N}$ force in question.

Physics 102 Electricity and Magnetism

Chapter 22

Magnetism

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

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find the charge on a baseball, which is moving with over the city off 35 meters per se Second in a perpendicular magnetic field and experiences and force Oh, fun Newton. So the baseball he has a velocity on and it is moving in a perpendicular magnetic field which is created by the earth. And the magnetic field off the ares is 5 10 minus five. Tess Lem and the first experienced by this, uh, baseball is one new turn. Ah, this and we can write down the firm. Will, um, so we need to find the charge off this baseball, and we know the Lawrence formal. Um, Lawrence forced former He's Q b p. Um, while seems, uh, the angle between V N V. He's 90 degrees. And from here, we can find Q, which would meet if different my Phoebe. And it is approximately 500 71 colon. And this is the first question. And second question, uh, asks if it is reasonable or if it is possible toe que the baseball these amounts of charge in reality s. Oh, yes, Why not? Um, the elementary charge is electron charge, which is about 10 minus 19 Colon and we can give the baseball as many elections we want or we can take from the baseball isn't any other terms we want. And this way we can charge the baseball with any months off charge. But what? What is unrealistic here? So let's consider one Colin charges separated by one meter and let's calculate the force between them. Ah Kun's force is cool, cool and score said, multiplied by charges and divided by the distance squared and knowing that the charges are one colon and distance is also one meter, we're left with just K we cheese on 9 10 Howard nine noodle and we were every say here. The force is huge, so we need great thes force. Listen, my self forced to hold ah, one cool on charges in a Eastern's off wind meter and u n if if we have a really strong wire or something like these, uh, it is not realistic that this wire would withstand this amount of force. So now, since we calculated that force between discharges between uncle and charges are huge, then also, if we have 571 colon located in tow, the small, um pull which is all right already. Oh, soft, like several centimeters. Then the force on the surface surface off this ball would be more than these. And, uh, the material from which the bowls made made off. Ah, couldn't be ableto hold these charges together. So it's not. It's not a realistic toe. Put this amount of charge into the baseball because it would cause the huge force, and baseball material wouldn't couldn't would stand Lee's emotional stress.

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