A cord is used to lower vertically a block

Your Ultimate Guide to JEE & NEET Question Solutions

A cord is used to lower vertically a block of mass $M$ by a distance $d$ with constant downward acceleration $\frac{g}{4}$. Work done by the cord on the block is

A

$Mg\frac{d}{4}$

B

$3Mg\frac{d}{4}$

C

$ - 3Mg\frac{d}{4}$

D

Mgd

A cord is used to lower vertically a block of mass $M$ by a distance $d$ with constant downward acceleration $\frac{g}{4}$. Work done by the cord on the block is

When the block moves vertically downward with acceleration $\frac{g}{4}$ then tension in the cord

$T = M\left( {g - \frac{g}{4}} \right)\; = \frac{3}{4}Mg$

Work done by the cord = $\overrightarrow F .\overrightarrow s = Fs\cos \theta $

= $Td\cos (180^\circ )$$ = - \left( {\frac{{3Mg}}{4}} \right) \times d$$ = - \frac{3}{4}Mgd$