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March 25, 2017

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A 4.00 bucket of water is accelerated upward by a cord of negligible mass whose breaking strength is 78.0 . If the bucket starts from rest, what is the minimum time required to raise the bucket a vertical distance of 10.0 without breaking the cord?

  • physics - ,

    ma=T-mg
    a=(T/m)-g= 19.5 – 9.8 = 9.7 m/s²
    h=at²/2=>
    t=2h/a = 2•10/9.7 = 2.06 s.

  • physics - ,

    the above solution is correct except for the very last part. They did not take into account that it should have been:
    t^2=(2h/a)
    sqrt(t^2)=sqrt(2.06)
    t=1.44

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