Potential Energy and Conservation Energy.

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SUMMARY

The discussion centers on the conservation of energy principles applied to a pendulum system with a bob mass of 0.33 kg moving at 2.4 m/s at point B. The kinetic energy calculated at this point is 0.95 J. The participants confirm that the change in gravitational potential energy between point B and the momentary rest point A is also 0.95 J, illustrating the conservation of energy. Additionally, the maximum angle of the pendulum string with the vertical is to be determined, emphasizing the importance of energy conservation in solving the problem.

PREREQUISITES
  • Understanding of kinetic energy formula: K.E. = 1/2 mv^2
  • Knowledge of potential energy formula: P.E. = mgh
  • Familiarity with the concept of conservation of energy
  • Basic principles of pendulum motion
NEXT STEPS
  • Study the principles of conservation of mechanical energy in pendulum systems
  • Learn how to calculate maximum height and angles in pendulum motion
  • Explore the effects of air resistance on pendulum dynamics
  • Investigate advanced topics in oscillatory motion and energy transformations
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding energy conservation in pendulum systems.

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Homework Statement



Suppose the pendulum bob in the figure has a mass of 0.33 Kg and is moving to the right at point B with a speed of 2.4 m/s . Air resistance is negligible.

The diagram is given here :
http://session.masteringphysics.com/prob…

I calculated the bob's kinetic energy at point B which is 0.95 J.

Can anyone help me out with following two questions?

At some point the bob will come to rest momentarily. Without doing an additional calculation, determine the change in the system's gravitational potential energy between point B and the point where the bob comes to rest.

I got 0.95 J for the potential Energy for this..

1. Find the maximum angle the string makes with the vertical as the bob swings back and forth. Ignore air resistance.

Homework Equations



Kinetic Energy = 1/2 mv^2
Potential Energy is = mgh

The Attempt at a Solution



The bob comes to momentary rest at point A which has largest P.E.
For the first question, I think I have to find P.E between point A and B. So I solved it now and got it right...

Second question.. I am completely clueless.. Can anyone please give me any hints?

Can anyone please explain it and help me out?

Thanks a lot before hand!

I solved the whole thing
 
Last edited by a moderator:
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Hint: Use conservation of energy. K.E.+P.E. = constant
 

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