Question

Two bodies of mass $4\,kg$ and $6\,kg$ are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is :

• A. g
• B. $\frac{g}{2}$
• C. $\frac{g}{5}$
• D. $\frac{g}{10}$

Answer 1

Answer: (C)

$\frac{g}{5}$

Answer 2

The acceleration of the system $a=\frac{\left(m_{2}-m_{1}\right)g}{m_{1}+m_{2}}$ where $m_{1}>\,m_{2}$ $a=\frac{(6-4)g}{6+4}$ $=\frac{2g}{10}$ $a=\frac{g}{5}$