JEE Main Physics 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 it is lowered by a distance d, the work done by the string will be
Answer: (B)
Solution
Net downward acceleration g/4 ⟹ mg − T = m(g/4) ⟹ T = 3mg/4. The tension acts upward while the bucket moves downward, so W = −Td = −3mgd/4.