What is the work done on a comet orbiting a star?

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Discussion Overview

The discussion revolves around the concept of work done on a comet as it orbits a star, focusing on the relationship between gravitational force, displacement, and the nature of the comet's orbit. Participants explore the implications of circular versus elliptical orbits and the conditions under which work may or may not be done.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether work is done on a comet in orbit, noting that gravitational force is not in the direction of the comet's motion in a circular orbit.
  • Another participant agrees that in a circular orbit, the force and displacement are perpendicular, thus no work is done, but points out that a comet's orbit is typically not circular.
  • A participant acknowledges that when the comet is not at specific points (A or D), the gravitational force will not be perpendicular to the velocity, raising questions about the implications for work done.
  • Further reflection leads to the idea that the net gravitational force has a component in the direction of the comet's momentum, suggesting that work may be done at certain points in the orbit.

Areas of Agreement / Disagreement

Participants generally agree that in a circular orbit, no work is done due to the perpendicular nature of force and displacement. However, there is disagreement regarding the nature of the comet's orbit and the implications for work done at various points, indicating that the discussion remains unresolved.

Contextual Notes

The discussion does not resolve the assumptions regarding the nature of the comet's orbit (circular vs. elliptical) or the specific conditions under which work may be calculated, leaving these aspects open for further exploration.

ccarit3007
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If a comet is orbiting a star is there any work done? I understand that work is force * displacement, but the force must be in the direction of motion. In the case of a comet and star the star exerts a gravitational force on the comet, but this force is not in the direction of the motion of the star (as the motion is circular). Is this the correct logic? For the question in the image shown I understand that potential energy would be greatest at A and kinetic would be greatest at D, but I still am stumped on the work side of things.
 

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You are correct that if the orbit is circular then the force and the displacement are perpendicular, so no work is done. However, a comet's orbit is not circular...
 
phyzguy said:
You are correct that if the orbit is circular then the force and the displacement are perpendicular, so no work is done. However, a comet's orbit is not circular...
Yes, I understand that. So when you are not at point A or point D the force will not be perpendicular to the velocity (and momentum). I'm not sure exactly what this means/where I go from there? I'm guessing that means the work at A & D is 0?
 
ccarit3007 said:
Yes, I understand that. So when you are not at point A or point D the force will not be perpendicular to the velocity (and momentum). I'm not sure exactly what this means/where I go from there? I'm guessing that means the work at A & D is 0?
Ah thinking about this again, the net force which would be directed towards the star would have a component that is in the direction of the momentum. Is this correct?
 
ccarit3007 said:
Ah thinking about this again, the net force which would be directed towards the star would have a component that is in the direction of the momentum. Is this correct?

It would have a component of the force directed in the direction of motion, yes.
 

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