Question

Two protons in an atomic nucleus are typically separated by a distance of $2 \times 10^{-15} \mathrm{m}$ . The electric repulsion force between the protons is huge, but the attractive nuclear force is even stronger and keeps the nucleus from bursting apart. What is the magnitude of the electric force between two protons separated by $2.00 \times 10^{-15} \mathrm{m}^{2}$

Name: Problem 4, Chapter 23: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-02-22T22:03:26-08:00
Duration: 2 min 7 s
Channel: James Erikson
Description: Two protons in an atomic nucleus are typically separated by a distance of 2 ×10^-15 m . The electric repulsion force between the protons is huge, but the attractive nuclear force is even stronger and keeps the nucleus from bursting apart. What is the magnitude of the electric force between two protons separated by 2.00 ×10^-15 m^2

   Two protons in an atomic nucleus are typically separated by a distance of $2 \times 10^{-15} \mathrm{m}$ . The electric repulsion force between the protons is huge, but the attractive nuclear
force is even stronger and keeps the nucleus from bursting apart. What is the magnitude of the electric force between two protons separated by $2.00 \times 10^{-15} \mathrm{m}^{2}$

Physics for Scientists and Engineers with Modern Physics

Paul Tipler, Gene… 6th Edition

Chapter 23, Problem 4

Instant Answer

Solved by Expert James Erikson

02/22/2020

Step 1

The charge of a proton is $1.602 \times 10^{-19} \mathrm{C}$ and the constant $K$ in Coulomb's law is $8.99 \times 10^{9} \mathrm{N} \cdot \mathrm{m}^{2}/\mathrm{C}^{2}$. Show more…

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Two protons in an atomic nucleus are typically separated by a distance of $2 \times 10^{-15} \mathrm{m}$ . The electric repulsion force between the protons is huge, but the attractive nuclear force is even stronger and keeps the nucleus from bursting apart. What is the magnitude of the electric force between two protons separated by $2.00 \times 10^{-15} \mathrm{m}^{2}$

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Key Concepts

Coulomb's Law

Coulomb's Law is a fundamental principle in electromagnetism that quantifies the electric force between two point charges. It states that the force is directly proportional to the product of the two charges and inversely proportional to the square of the distance separating them. This law is essential for calculating the magnitude of the repulsive or attractive forces acting between charged particles.

Electric Charge

Electric charge is an intrinsic property of matter that determines how particles interact electromagnetically. It is the source of both attractive and repulsive forces in electromagnetism, with like charges repelling each other. Understanding the value of the elementary charge is critical for computing forces between particles using Coulomb's Law.

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