What is the work done by a radial force in this situation?

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SUMMARY

The discussion centers on the work done by a radial force on a particle moving along a circular path. The key conclusion is that despite the presence of a radial force, the work done is zero because the force is perpendicular to the direction of the particle's instantaneous motion, which is tangential. The calculations indicate that while the distance traveled is πR, the work done by the radial force does not contribute due to the angle between the force and the displacement being 90 degrees.

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dinhjeffrey
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Homework Statement



http://img26.imageshack.us/i/1113001.jpg/

#11

Homework Equations


C = 2πr
w=fd


The Attempt at a Solution


it travels from point 1 to 2 so its half a circle so the distance is πR.
πRF = w
so i would guess its D.
but the answer is A) zero. i do not know why it is zero though.
 
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Hint: the force is radial, but which direction is the particle at ? (radial, tangential or other)
 
rock.freak667 said:
Hint: the force is radial, but which direction is the particle at ? (radial, tangential or other)

tangential, oh so the work done would be by the tangential force, not the radial force?
 
dinhjeffrey said:
tangential, oh so the work done would be by the tangential force, not the radial force?

No, there is only the radial force, but the instantaneous direction of the particle is given by the direction of the tangent.

So if the force is perpendicular to the direction, what is the work ?
 

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