No-one knows the answer to the tenth question ('cept me)

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SUMMARY

The discussion centers around a series of physics questions related to fundamental forces and constants, specifically the electric force between a proton and electron (8.238x10-8 N) and the gravitational force between them (3.63x10-47 N). The velocity of light is established at 299,792,458 m/s, and the permittivity of a vacuum is noted as 8.854x10-12 m-2s-2. The density of a proton is estimated at 1.78x1016 kg/m3, while the density of the sun is 1,405 kg/m3. The discussion concludes with a query regarding the similarity in order of magnitude for the results of specific calculations involving these values.

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  • Familiarity with constants like the speed of light and permittivity of free space.
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  • Ability to perform mathematical operations involving powers of ten.
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Ian
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Q1. What is the magnitude of the electric force between a proton & electron?
(8.238x10-8 N)
Q2,What is the magnitude of the gravitational force between a proton & electron?
(3.63x10-47 N)
Q3.
What is the magnitude of the velocity of light?
(299792458 m s-1)
Q4.What is the magnitude of the permitivity of a vacuum?
(8.854x10-12 m-2 s-2)
Q5. Estimate the density of a proton
(1.78x1016kg m-3)
Q6. Estimate the density of the sun
(1405 kg m-3)

Q7. Divide answer 1 by answer 2.
(2x1039)
Q8. Divide the square of the third answer by the square of the fourth answer.
(1x1039)
Q9. Divide the cube of the fifth answer by the cube of the sixth answer
(2x1039)
Q10. Why are the answers to Q7, Q8 & Q9 of the same order?
(Gotcha)
 
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I am interested to know the solution, but cannot solve this problem on my own since I am not an expert in physics.

In my opinion, this problem is likely to elicit a much better response if this is resubmitted in other subforums like: General Physics, Classical physics, etc.
 
Is this a brain teaser?
 

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