A cord is used to lower vertically a block of mass M a distance d at a constant downward acceleration of g/4 . Then the work done by the tension in the cord on the block is
Work is done by the tension in the chord.
T−Mg=−Mg4
T=3Mg4
T is upwards and displacement is downwards.
Thus,
W=T d cos180o
=−Td
=−3Mg4 d