- #1
Aristarchus_
- 95
- 7
- Homework Statement
- Person A and Person B are twins and are both 2m tall. They each fall towards their own black holes, legs first. Person A falls towards the black hole with a mass of ##8*10^30kg## and person B towards the one with the mass of ##8*10^36kg##. I am supposed to find the difference in gravitational force(gravitational acceleration) exerted on the lower part of their body and on the upper part. That is, in those 2meters difference...
- Relevant Equations
- $g=\frac{GM}{r^2}$
I have tried inserting in the above formula 2m for r, but I get a huge answer. The correct answer is ##1.28*10^9 N/kg## for person A and ##1.28*10^-3 N/kg## for person B. I also suspect that the formula for the Lorentz factor (##1/\sqrt{1-2GM/r*c^2}##) has some relevancy here, but I cannot figure it out...