Mastering Black Hole Energy to Solving Homework Problems | Expert Tips

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SUMMARY

The discussion centers on solving a homework problem related to black holes and energy dynamics. The user is tasked with determining the energy E of a mass spiraling into a black hole at a distance r, starting with E=0 at infinity. Key equations mentioned include T(r) = 1/2 Iw² for kinetic energy and U(r) = -GMm/r for gravitational potential energy. Expert Warren clarifies that the problem can be approached using classical mechanics, emphasizing that the specific context of black holes is not essential for solving the problem.

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  • Understanding of classical mechanics principles
  • Familiarity with gravitational potential energy equations
  • Knowledge of kinetic energy formulas
  • Basic concepts of black hole physics
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  • Research classical mechanics applications in gravitational fields
  • Study the derivation and implications of the gravitational potential energy equation U(r) = -GMm/r
  • Explore kinetic energy calculations in rotational systems
  • Investigate the role of black holes in energy dynamics
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Students in physics, educators teaching classical mechanics, and anyone interested in the energy dynamics of objects in gravitational fields.

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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
 

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