Help calculating linear speed of an electron?

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SUMMARY

The discussion centers on calculating the linear speed of an electron in a hydrogen atom using the Bohr Model. The electron orbits the proton at a radius of 5.29 x 10-11 m. The net force acting on the electron is identified as the electric force of attraction (Fe), which serves as the centripetal force, while the gravitational force (Fg) is deemed negligible. The participant successfully calculated Fe as 0.00816 N and seeks clarification on determining the linear speed, which is essential for solving related angular speed and orbital time calculations.

PREREQUISITES
  • Understanding of the Bohr Model of the Hydrogen Atom
  • Knowledge of centripetal force and its relation to circular motion
  • Familiarity with electric force calculations (Coulomb's Law)
  • Basic principles of angular velocity and linear speed
NEXT STEPS
  • Calculate the linear speed of an electron using the formula V = sqrt(Fe * r / m)
  • Learn about angular speed calculations in circular motion
  • Explore the relationship between electric force and centripetal force in atomic models
  • Investigate the time period of electron orbits in quantum mechanics
USEFUL FOR

Students studying atomic physics, educators teaching quantum mechanics, and anyone interested in the dynamics of subatomic particles.

flowerz2010
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According to the Bohr Model of the Hydrogen Atom, the elctron orbits the proton a ta radius of 5.29x10-11m.
(a) What is the linear speed of the electron?
(b) What is the angular speed of the electron?
(c) How long does it take for the electron to complete one orbit?

I know how to solve for parts b and c, but do not know how to answer a, and thus can't solve the other two parts.

For part a, I have the the net force acting upon the electron is equal to mVt2/r. What exactly is the net force on the electron? Is it Fe or Fg or both?

I calculated Fe earlier and attained a value of 0.00816 N.
 
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I would assume the electric force of attraction between the proton and electron in hydrogen would provide the centripetal force of the electron.
 
rock.freak667 said:
I would assume the electric force of attraction between the proton and electron in hydrogen would provide the centripetal force of the electron.

Yeah, you're right. Thank you. I realized that the Fg would be negligible in this case.
 

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