Question

A block of mass $M$ is pulled by a force F along a smooth horizontal surface with rope of mass $m$. The acceleration of the block will be :

• A. $\frac{F}{M+m}$
• B. $\frac{F}{M-m}$
• C. $\frac{F}{M}$
• D. $\frac{F}{m}$

Answer 1

The correct option is A $\frac{F}{M+m}$

Let $a$ be the acceleration of the block as well as the total system.
mass of total system $m_t=M+m$
From FBD, $F=m_{t}a=(M+m)a$
$\therefore a=\frac{F}{M+m}$