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March 30, 2017

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A 1.0-kg ball on the end of a string is whirled at a constant speed of 2.0 m/s in a horizontal circle of radius 1.5 m. What is the work done by the centripetal force during one revolution?

I did:
F=m(v^2)/r
F=1(2^2)/1.5=2.7 J

The answer that was provided was 0. Can someone explain the reasoning? Thanks

  • Physics - ,

    It seems to me that centripetal force is directed inward, but the direction of travel is tangent to the circle. How can a force ninety degrees to travel do any work?

  • Physics - ,

    There is no displacement in the direction of the force.
    work=force * displacement in the direction of the force.

  • Physics - ,

    The object has no displacement during that time, therefore no work is done. Plus the ball traveled at a constant speed which makes the accleration zero, the force zero, and the work zero.

  • Physics - ,

    Work is transferred, not made.

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