A bucket tied to a string is lowered at a constant acceleration of g/4 . If the mass of the bucket is 𝑚 and is lowered by a distance 𝑑, the work done by the string will be

Question: A bucket tied to a string is lowered at a constant acceleration of g/4 . If the mass of the bucket is 𝑚 and is lowered by a distance 𝑑, the work done by the string will be

(A) \dfrac{mgd}{4}

(B) -\dfrac{3}{4}mgd

(C) -\dfrac{4}{3}mgd

(D) \dfrac{4}{3}mgd

Answer: Option (B)

Solution:

A bucket tied to a string is lowered at a constant acceleration of g/4 . If the mass of the bucket is 𝑚 and is lowered by a distance 𝑑, the work done by the string will be
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