Gravitational Field Difference on body near a black hole.

BCHurricane89
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Homework Statement


This is not a homework problem per se, but more of boredom, and curiosity. I was trying to calculate the gravitational field difference on a human body if it were near a black hole. Used Newtons universal law of gravitation, and such, and got my numbers. Despite the numbers I got, it just does not seem like a HUGE difference than what I had imagined. Might I have did something wrong? I have attached my writeup on the subject with all the work and calculations done. See what you think. Thanks!
 

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1020 Newtons? Seems like a huge difference to me! Remember that people were pulled apart during the Middle Ages using much less force than that. In fact, that's probably a larger force than you'd find pretty much anywhere on Earth.

P.S. It would be much appreciated if you didn't post attachments in MS Word format.
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.

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