Question on energy conservation with centripetal acceleratio

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SUMMARY

The discussion focuses on the application of energy conservation principles in the context of centripetal acceleration. The participant initially struggled with identifying the correct answer, which was confirmed as E, and sought guidance on the theoretical basis for this choice. They successfully eliminated options I and II but remained uncertain about option III, particularly regarding the relationship between speed at point B, height H, and centripetal force. The conversation emphasizes the importance of understanding mechanical energy conservation in solving centripetal acceleration problems.

PREREQUISITES
  • Understanding of mechanical energy conservation principles
  • Knowledge of centripetal acceleration and its implications
  • Familiarity with the relationship between speed, height, and force
  • Basic problem-solving skills in physics
NEXT STEPS
  • Study the principles of conservation of mechanical energy in physics
  • Learn about centripetal acceleration and its mathematical formulation
  • Explore the relationship between speed, height, and centripetal force in circular motion
  • Practice solving problems involving energy conservation and centripetal forces
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Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to clarify concepts related to centripetal acceleration.

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Homework Statement


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The right answer is E, and I have no idea how to solve this problem.

Please advise on how to proceed. Thanks in advance.

Homework Equations


conservation of mechanical energy??

The Attempt at a Solution


Many attempts were done, but I am lacking on theory with this. How and why should I choose E and eliminate the other answers?

Thanks!
 
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UPDATE: I was able to figure out why I and II are wrong, but I am now stuck on roman numeral III.

Thanks in advance for the help
 
Consider the speed, v, at point B. How does this relate to H? How does it relate to the centripetal force at B?
 

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