Question

A $13N$ weight and a $12N$ weight are connected by massless string over a mass less friction less pulley, The $13N$ weight has a downward acceleration with magnitude equal to that of a freely falling body time

• A. $1$
• B. $1/12$
• C. $1/13$
• D. $1/25$

Answer 1

The correct option is D $1/25$

For $13N$ mass =$m_{1}a=13-T$

for $12N$ mass=$m_{2}a=T-12$

Also

$\begin{array}{c}{m}_1=\frac{13}{g}whereisacclerationoffreelyfallingbody.\\ and{m}_2=\frac{12}{g}\\ EllminatingT,\\ \left(m_1+m_2\right)=13-12\\ \left(\frac{13}{g}+\frac{12}{g}\right)a=1\\ a=\frac{g}{25}\end{array}$