Mastering Black Hole Energy to Solving Homework Problems | Expert Tips

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Homework Statement




I have a question about black holes and energy but have no idea what to do. if someone could just point me in the right direction.

the question asks to consider a mass spiraling into a black hole, starting with energy E=0 at infinity. I have to determine E of the object when orbiting the black hole at distance r classically. I'm just stuck right now, not sure what is wrong.

Homework Equations



what I am thinking;

T(r)= 1/2 Iw^2
U(r)= -GMm/r

there are following questions that I can't get to until i figure this out.
 
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Your last equation is all you need. Note that this question actually has nothing to do with black holes; any normal mass will do just as well.

- Warren
 
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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