Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
16
Electric Charge and Electric Field
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16-5 and 16-6: Coulomb's Law
16-7 and 16-8: Electric Field, Field Lines
16-10: DNA
16-12: Gauss's Law

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 1
Q

What is the magnitude of the electric force of attraction between an iron nucleus (q = +26e) and its innermost electron if the distance between them is 1.5×1012 m1.5 \times 10^{-12} \textrm{ m}?

A
2.7×103 N2.7 \times 10^{-3} \textrm{ N}
Giancoli 7th Edition, Chapter 16, Problem 1 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. Using Coulomb's law, we take the Coulomb's constant k multiplied by one charge which is the iron nucleus, 26 times the elementary charge. And then multiply that by the charge of the electron which is 1.5 times 10 to the minus 12 meters away. So it's 26 times 1.6 times 10 to the minus 19 Coulomb's for the charge in the nucleus, and then 8.988 times 10 to the nine Newton-meter square per Coulomb squared, Coulomb's constant. And then divided by 1.5 times 10 to the minus 12 meters squared. The denominator is squared. And this gives us 2.7 times 10 to the minus 3 Newtons is the force. And that's a force of attraction. Because they're of opposite charges, the nucleus will be positive and the electron will be negative. I guess I can put a negative sign there, couldn't I? But it says a magnitude, doesn't it? Yes, so never mind. It just says what's the magnitude of the charge. That's why we don't need the negative sign there.

COMMENTS
By scott.mck.turney on Tue, 1/24/2023 - 1:23 AM

nice

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