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A bucket tied to a string is lowered at ...

A bucket tied to a string is lowered at a constant acceleration of `g//4`. If mass of the bucket is m and it is lowered by a distance /then find then work done by the string on the bucket.

A

(1/4) mgd

B

(-3/4) mgd

C

(-4/3) mgd

D

(4/3) mgd

Text Solution

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The correct Answer is:
B

Let tension in string be T, then work done by tension T=td
Applying newton's second law on the bucket

`mg-T=m(g/4) ` or `T=3/4 mg`
`:.` required work done `=-3/4 mg d`
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