What is the equation for the tidal force an observer would feel when in a black hole? What would the difference between the forces of the head to feet be?
To calculate the tidal force of a BH, let us find the force difference of one end of a body to the other end when it falls in a BH. From gravtitaion we know , where is the mass of the body, is the mass of the BH, is the distance.
So the force difference
Using Binomial expansion:
If is the length of the object . So, the tidal acceleration is :
and the force difference between head and feet will be:
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