Dynamics of uniform circular motion and bohr model

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Homework Help Overview

The discussion revolves around the dynamics of uniform circular motion as applied to the Bohr model of the hydrogen atom, specifically focusing on the motion of an electron orbiting a proton. The original poster seeks assistance in calculating the number of revolutions per second the electron makes based on given parameters such as force, mass, and distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between force, mass, and velocity using the formula F = mV²/R. Questions arise regarding the nature of the distance traveled by the electron and whether it represents a straight line or a circular path. There is also discussion about the interpretation of time in the context of the problem.

Discussion Status

The discussion has seen participants providing hints and guidance, with some clarifying the correct interpretation of the distance as the radius rather than the diameter. There is an ongoing exploration of how to calculate velocity and angular velocity, with various approaches being discussed without reaching a consensus.

Contextual Notes

Participants note the importance of showing work and understanding the underlying concepts rather than simply providing answers. There is an emphasis on the need for clarity regarding the definitions and assumptions related to the problem.

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In the Bohr model of the hydrogen atom, an electron (mass m = 9.1 x 10^-31 kg) orbits a proton at a distance of 5.3 x 10^-11 m. The proton pulls on the electron with an electric force of 9.2 x 10^-8 N. How many revolutions per second does the electron make?

can someone help me solve this problem?
 
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first of all
:mad: :mad: :mad:

SHOW SOME WORK we're not here to do your work for you!

Secondly F = m V^2 / R

Secondly distance / velocity = time

what is the distance traveled by this electron ? Is it a straight line or something else? If it something else , isn't htat something else defined by some formula?

The time given in the above formula represents something, what does it represent?

All the clues are here, show some work and i'd have been more helpful
 
sorry i had done the problem but it was incorrect so i figured i would start from scratch. anyways i did complete some parts that are still useful. using F = mv^2/r
i got the velocity = sqrt(F*r/m) so v = 1636802. for radius am i correct in assuming that the distance given is the diameter? if so, i got a time of 3.23 x 10^-17 s. the electron is orbiting a proton so do i use the time as the period and compute the velocity using v = 2*pi*r/T(period) ?
 
ok i figured it out. thanks for your hints. basically i didn't realize that the distance given was the actual distance instead of my dividing it by two to get a radius. so i just used v = sqrt((distance * force)/ mass) to get the velocity and then to get the angular velocity i just did velocity / distance. then converted from radians to rev/s.
 
quick said:
sorry i had done the problem but it was incorrect so i figured i would start from scratch. anyways i did complete some parts that are still useful. using F = mv^2/r
i got the velocity = sqrt(F*r/m) so v = 1636802. for radius am i correct in assuming that the distance given is the diameter? if so, i got a time of 3.23 x 10^-17 s. the electron is orbiting a proton so do i use the time as the period and compute the velocity using v = 2*pi*r/T(period) ?

exactly

period is given by 2 pi r / v or if you care for angular velocity w = v/ r then T = 2 pi / w and you're done like dinner
 

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