Chapter 16: Q46P (page 626)

How much work is required to move a proton and an electron at rest a distance $3 \times 10^{- 8} m$ apart to be at rest a distance $7 \times 10^{- 8} m$ apart?

Short Answer

Expert verified

The work required to move the electron and proton is $4.3 \times 10^{- 21} J$ .

Step by step solution

Write the given data from the question.

Initial distance between electron and proton, $r_{1} = 3 \times 10^{- 8} m$

Final distance between electron and proton, $r_{2} = 7 \times 10^{- 8} m$

Charge on proton, $q_{1} = + 1.6 \times 10^{- 19} C$

Charge of electron, $q_{2} = - 1.6 \times 10^{- 19} C$

Determine the formulas to calculate the work required to move a proton and electron.

The expression to calculate the work required to move proton and electron is given as follows.

$W = 9 \times 10^{9} \times |q_{1} q_{2}| (\frac{1}{r_{2}} - \frac{1}{r_{1}})$ …… (i)

Calculate the work required to move a proton and electron.

Calculate the required work.

Substitute $3 \times 10^{- 8} m$ for $r_{1}$ , $1.6 \times 10^{- 19} C$ , for $q_{1}$ , $7 \times 10^{- 8} m$ for $r_{2}$ , and $- 1.6 \times 10^{- 19} C$ for $q_{2}$ into equation (i).

$W = 9 \times 10^{9} \times |1.6 \times 10^{- 19} \times (- 1.6 \times 10^{- 19})| (\frac{1}{3 \times 10^{- 8}} - \frac{1}{7 \times 10^{- 8}}) W = 9 \times 10^{9} \times \frac{2.56 \times 10^{- 38}}{10^{- 8}} (\frac{7 - 3}{3 \times 7}) W = 9 \times 2.56 \times 10^{- 21} \times \frac{4}{21} W = 4.3 \times 10^{- 21} J$

Hence the work required to move the electron and proton is $4.3 \times 10^{- 21} J$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

How much work is required to move a proton and an electron at rest a distance $3 \times 10^{- 8} m$ apart to be at rest a distance $7 \times 10^{- 8} m$ apart?

Short Answer

Step by step solution

Write the given data from the question.

Determine the formulas to calculate the work required to move a proton and electron.

Calculate the work required to move a proton and electron.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Thermodynamics

Fields in Physics

Physical Quantities And Units

Space Physics

Linear Momentum

Study anywhere. Anytime. Across all devices.

How much work is required to move a proton and an electron at rest a distance 3×10-8mapart to be at rest a distance7×10-8m apart?

Short Answer

Step by step solution

Write the given data from the question.

Determine the formulas to calculate the work required to move a proton and electron.

Calculate the work required to move a proton and electron.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Thermodynamics

Fields in Physics

Physical Quantities And Units

Space Physics

Linear Momentum

Study anywhere. Anytime. Across all devices.

How much work is required to move a proton and an electron at rest a distance $3 \times 10^{- 8} m$ apart to be at rest a distance $7 \times 10^{- 8} m$ apart?