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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 `l` then find the work done by the string on the bucket.

A

`(1//4) mg d`

B

`(-3//4)mgd`

C

`(-4//3)mgd`

D

`(4//3)mgd`

Text Solution

Verified by Experts

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)/(a))`
`or T=(3)/(4)mg`

`:.` required work down `=-(3)/(4) mg d`
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