how much acceleration would the clump of protons undergo due to its attraction to the clump of electrons in the other box?

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 29P: (a) At what speed will a proton move in a circular path of the same radius as the electron in the...
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Your object has mass 70.7 kg, and you ve separated the boxes of protons and electrons by a distance of 50 m. If you were to release the clump of protons from their box, how much acceleration would the clump of protons undergo due to its attraction to the clump of electrons in the other box?
   
5.85E+23 m/s^2
   
1.17E+24 m/s^2
   
2.34E+24 m/s^2
   
4.68E+24 m/s^2
Expert Solution
Step 1

Data provided in the question;

Mass of the object Physics homework question answer, step 1, image 1

Distance between boxes of protons and electrons Physics homework question answer, step 1, image 2

Step 2

In any object there will be equal number of protons and electrons to make it neutral. 

Physics homework question answer, step 2, image 1

Here, Physics homework question answer, step 2, image 2 is the number of protons/electrons

Physics homework question answer, step 2, image 3 is the mass of proton Physics homework question answer, step 2, image 4

Physics homework question answer, step 2, image 5 is the mass of electrons Physics homework question answer, step 2, image 6

Therefore, substituting all the values;

Physics homework question answer, step 2, image 7

Step 3

According to Coulomb's law. the electrostatic force between any two charges separated by some fixed distance is directly proportional to the product of their charges and inversely proportional to the square of distance between them.

Therefore, we can write for the force between the boxes of electrons and protons;

Physics homework question answer, step 3, image 1

Here, Physics homework question answer, step 3, image 2 is the total charge of protons inside the box

Physics homework question answer, step 3, image 3is the total charge of electrons inside the box

Physics homework question answer, step 3, image 4is Coulomb's constant

 

Substituting all the values;

Physics homework question answer, step 3, image 5

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OpenStax