Time to learn and understand my mistakes.

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SUMMARY

The discussion revolves around calculating the speed of a charged particle as it approaches a spherical insulator with charge +Q and radius R. The participant initially attempted to use the work-energy theorem with incorrect limits of integration, integrating from 2R to R instead of from infinity to R. The correct approach involves understanding that the potential energy decreases as the particle moves closer to the insulator, leading to an increase in kinetic energy. The participants clarify that integrating from infinity is not necessary for this specific problem, as the work done can be calculated directly between the two points.

PREREQUISITES
  • Understanding of electrostatics, specifically Coulomb's law and electric fields.
  • Familiarity with the work-energy theorem in physics.
  • Knowledge of potential energy concepts in the context of electric charges.
  • Ability to perform definite integrals in calculus.
NEXT STEPS
  • Study the application of the work-energy theorem in electrostatics.
  • Learn about electric potential and potential energy in the context of point charges.
  • Explore the concept of electric fields and forces in spherical charge distributions.
  • Practice solving problems involving integration of forces over distances in physics.
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Students studying electromagnetism, physics educators, and anyone preparing for exams in electrostatics or related fields.

  • #31
But the object isn't in space...it's in the sky. Which is less than the Earth's Radius.
 
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  • #32
flyingpig said:
But the object isn't in space...it's in the sky. Which is less than the Earth's Radius.
Note that the distance 'r' in the Newton formula for gravity is the distance from the object to the center of the earth. For something above the Earth's surface, that distance will be greater than the Earth's radius.
 
  • #33
But the Earth's surface is the sky and the object can't always be higher than the sky
 
  • #34
flyingpig said:
But the Earth's surface is the sky and the object can't always be higher than the sky
The Earth's surface is below the sky.
 
  • #35
Then what is the real radius of the earth?
 

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