Book edition 4th edition

Author(s) Ruth W. Chabay, Bruce A. Sherwood

Pages 1135 pages

ISBN 9781118875865

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Short Answer

A proton and an electron are separated by $1 \times 10^{- 10} m$ the radius of a typical atom. Calculate the magnitude of the electric force that the proton exerts on the electron and the magnitude of the electric force that the electron exerts on the proton.

The magnitude of the force that the proton exerts on the electron is $2.304 \times 10^{- 8} N$ .

The magnitude of the force that the electron exerts on the proton is $2.304 \times 10^{- 8} N$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of Coulomb's law.

Coulomb's law is the most fundamental in electrostatics. This law determines the force one charged particle exerts over the other and vice versa. The physical expression of this law is:

$F = \frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r^{2}}$

Here, r is the distance between two charged particles, and q is the charges.

Step 2: Determine the proton's force exerted on the electron.

As it is known that the charge of the electron is $q_{1} = - 1.6 \times 10^{- 19} C$

It is also known the charge of the proton is data-custom-editor="chemistry" $q_{2} = + 1.6 \times 10^{- 19} C$

It is given that the separation between the electron and proton is data-custom-editor="chemistry" $r = 1 \times 10^{- 10} m$ .

It is known that the force can be determined as:

data-custom-editor="chemistry" $\begin{array}{rcl} |F| & = & |\frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r^{2}}| \\ = & 9 \times 10^{9} \times \frac{{(1.6 \times 10^{- 19})}^{2}}{{(1 \times 10^{- 10})}^{2}} \\ = & 2.304 \times 10^{- 8} N \end{array}$

Step 3: Determine the electron's force exerted on the proton.

As it is known that the charge of the electron is $q_{1} = - 1.6 \times 10^{- 19} C$

It is also known the charge of the proton is $q_{2} = + 1.6 \times 10^{- 19} C$

It is given that the separation between the electron and proton is $r = 1 \times 10^{- 10} m$

It is known that the force can be determined as:

$\begin{array}{rcl} |F| & = & |\frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r^{2}}| \\ = & 9 \times 10^{9} \times \frac{{(1.6 \times 10^{- 19})}^{2}}{{(1 \times 10^{- 10})}^{2}} \\ = & 2.304 \times 10^{- 8} N \end{array}$

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Matter & Interactions

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Short Answer

A proton and an electron are separated by $1 \times 10^{- 10} m$ the radius of a typical atom. Calculate the magnitude of the electric force that the proton exerts on the electron and the magnitude of the electric force that the electron exerts on the proton.

Step by Step Solution

Step 1: Definition of Coulomb's law.

Step 2: Determine the proton's force exerted on the electron.

Step 3: Determine the electron's force exerted on the proton.

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Matter & Interactions

Answers without the blur.

Short Answer

A proton and an electron are separated by 1×10-10 m the radius of a typical atom. Calculate the magnitude of the electric force that the proton exerts on the electron and the magnitude of the electric force that the electron exerts on the proton.

Step by Step Solution

Step 1: Definition of Coulomb's law.

Step 2: Determine the proton's force exerted on the electron.

Step 3: Determine the electron's force exerted on the proton.

Most popular questions for Physics Textbooks

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A proton and an electron are separated by $1 \times 10^{- 10} m$ the radius of a typical atom. Calculate the magnitude of the electric force that the proton exerts on the electron and the magnitude of the electric force that the electron exerts on the proton.